A Graphical Approach to Precalculus with Limits (7th Edition)
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; Degrees and radians are units of measuring ... more
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; Degrees and radians are units of measuring ... more
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; The coterminal angles are angles that have the ... more
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; Two angles are complementary when the sum of ... more
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; The formula for length of an arc subtending an... more
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; The variable denotes linear speed and denotes... more
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; A clock is a circle made of . Each number on ... more
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; A clock is a circle made of . Each number on ... more
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; A clock is a circle made of . Each number on ... more
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; A clock is a circle made of . Each number on ... more
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; Angle traced by the hour hand in 12 hours is .... more
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and ; The sum of angles that are formed on a ... more
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and ; The sum of the angles that are formed ... more
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; ; The sum of the angles that are formed between ... more
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and ; The sum of angles that are formed on a ... more
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and ; Two angles are called supplementary when ... more
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and ; Two angles are called complementary when ... more
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; Set up the given numbers for addition. Perform ... more
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; Set up the given numbers for addition. Perform ... more
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; Consider the absolute value of and then ... more
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; Consider the absolute value of and then ... more
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; Rewrite as .Set up and for subtraction. Then... more
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; Rewrite as .Set up and for subtraction. Then... more
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; Rewrite the given expression as .The conversion... more
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; Rewrite the given expression as .The conversion... more
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; Rewrite the given expression as .The conversion... more
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; Convert the given angle to degrees.Break the ... more
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; Break the given angle as .1 degree is ... more
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; Break the given angle as .1 degree is ... more
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; Break the given angle as .1 degree is ... more
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; Break the given angle as .1 degree is ... more
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; The coterminal angle is defined as the angle in... more
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; The coterminal angle is defined as the angle in... more
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; The coterminal angle is defined as the angle in... more
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; The coterminal angle is defined as the angle in... more
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; The coterminal angle is defined as the angle in... more
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; The coterminal angle is defined as the angle in... more
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; The coterminal angle is defined as the angle in... more
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; The coterminal angle is defined as the angle in... more
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; A complete rotation or revolution is measured ... more
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; A complete rotation or revolution is measured ... more
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; A complete rotation or revolution is measured ... more
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; A complete rotation or revolution is measured ... more
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; A complete rotation or revolution is measured ... more
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; A complete rotation or revolution is measured ... more
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; A complete rotation or revolution is measured ... more
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; A complete rotation or revolution is measured ... more
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; The conversion of an angle from degree to ... more
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; The conversion of an angle from degree to ... more
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; The conversion of an angle from degree to ... more
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; The conversion of an angle from degree to ... more
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; The conversion of an angle from degree to ... more
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; The conversion of an angle from degree to ... more
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; Multiply the measure of the angle by to ... more
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; Multiply the measure of the angle by to ... more
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; Multiply the measure of the angle by to ... more
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; Multiply the measure of the angle by to ... more
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; Multiply the measure of the angle by to ... more
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; Multiply the measure of the angle by to ... more
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0.68 ; Multiply the measure of the angle by to ... more
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1.29 ; The conversion of an angle from degree to ... more
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2.43 ; Convert the given angle to degrees.1 degree... more
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3.05 ; Convert the given angle in degree.Break the... more
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1.12 ; The conversion of the measure of an angle ... more
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2.14 ; The conversion of the measure of an angle ... more
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; The conversion of the measure of an angle from ... more
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; The conversion of the measure of an angle from ... more
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; The conversion of the measure of an angle from ... more
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; The conversion of an angle from radian to ... more
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; The conversion of the measure of an angle from ... more
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; To convert a radian measure to degrees, ... more
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, , , , , , , ;, , , , ; To convert the degree ... more
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; The formula to calculate the length of the arc... more
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; The formula to calculate the length of the arc... more
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8 ; The formula to calculate the length of the arc... more
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6 ; The formula to calculate the length of the arc... more
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1 ; The formula to calculate the length of the arc... more
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; The formula to calculate the length of the arc... more
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; The formula to calculate the length of the arc... more
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; The formula to calculate the length of the arc... more
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; Multiply 60 by to convert to radians.Cancel ... more
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; Multiply 135 by to convert to radians.Cancel ... more
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; Subtract from to obtain the angles between ... more
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; Subtract from to obtain the angles between ... more
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; Add and to obtain the angles between the two ... more
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; Add and to obtain the angles between the two ... more
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radians per sec ; Substitute 8 sec for and ... more
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radians per sec ; Substitute 10 sec for and ... more
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minute ; Substitute for and for in the given ... more
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10.768 radians ; Substitute 0.90674 for and for... more
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; Substitute 6 for , for and 9 for in the ... more
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; Substitute 9 for , for and 12 for in the ... more
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; Substitute for , 2 for and for in the given... more
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; Substitute for , 2 for and 4 for in the ... more
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; The relation between degree and minute is .... more
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; The relation between degrees to radians is .... more
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; The relation between degrees to radians is .... more
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About 146.13 inches ; A circle with central angle... more
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1116 square meter ; The formula to calculate the ... more
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3743 square meter ; The formula to calculate the ... more
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; Multiply by to convert the to radian. ; The ... more
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; Multiply by to convert the to radian. ; The ... more
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; The formula to calculate the angle is , where... more
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; The formula to calculate the angle is , where... more
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; The formula for the area of a circle is , where... more
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; The formula for the area of a sector is , where... more
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; The Pythagorean theorem states that , where is... more
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; ; The formula for linear speed is , where is ... more
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; The formula for linear speed is , where is ... more
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; One mile is equal to 63360 inches and one hour ... more
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; ; The formula for angular speed is , where is ... more
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; One degree is equal to 60 minutes. Therefore, 1... more
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; ; The formula for angular speed is , where is ... more
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; The formula for linear speed is , where is ... more
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Radius : ; Circumference: ; Rewrite the expression... more
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The arc length of a circle can be calculated using... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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; The total circumference of the unit circle is .... more
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, , ; The unit circle is the circle with the ... more
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, , ; The unit circle is the circle with the ... more
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, , ; The unit circle is the circle with the ... more
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, , ; The unit circle is the circle with the ... more
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, , ; The unit circle is the circle with the ... more
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, , ; The unit circle is the circle with the ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; and ; and are undefined. ; A general equation ... more
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; ; is undefined; ; is undefined; ;The tangent ... more
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; ; is undefined; ; is undefined; ;The tangent ... more
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; ; is undefined; ; is undefined; ;The tangent ... more
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First quadrant ; Consider as and as .The value ... more
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Fourth quadrant ; Consider as and as .The value... more
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Third quadrant ; Consider as and as .The value ... more
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First quadrant ; Consider as and as .The given ... more
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Second quadrant ; Consider as and as .The value... more
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Third quadrant ; Consider as and as .The value ... more
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First quadrant ; The approximate value of is 0.... more
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Second quadrant ; The value of is 1.57 and the ... more
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Third quadrant ; The approximate value of is 1.57... more
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Fourth quadrant ; Addition of an integer multiple ... more
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Second quadrant ; The value of is 1.57 and the ... more
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;;First quadrant;;;; ; Turn on the graphing ... more
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;;First quadrant;;;; ; Turn on the graphing ... more
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;;Second quadrant;;;; ; Turn on the graphing ... more
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;;Second quadrant;;;; ; Turn on the graphing ... more
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;;Third quadrant;;;; ; Turn on the graphing ... more
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;;Third quadrant;;;; ; Turn on the graphing ... more
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;;Fourth quadrant;;;; ; Turn on the graphing ... more
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;;Fourth quadrant;;;;; ; Turn on the graphing ... more
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0.9601702867 ; Consider the number of letters in ... more
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0.9601702867 ; Consider the number of letters in ... more
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The value of is the same in both the questions ... more
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; Consider, there are 5 letters in the name. ... more
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; Consider there are 6 letters in the name. ... more
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The value of is the same in both the previous ... more
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; From the given figure, it is observed that the ... more
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; From the given figure, it is observed that the ... more
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; From the given figure, it is observed that the ... more
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; From the given figure, it is observed that the ... more
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; The given expression can be written as .From ... more
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; The given expression can be written as .From ... more
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; From the given figure, it is observed that the ... more
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; The given expression can be written as or ... more
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; Addition of any multiple of with any angle ... more
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; The given expression can be written as or ... more
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; The given expression can be written as or ... more
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; The given expression can be written as or ... more
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; The given expression can be written as or ... more
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; The given expression can be written as or ... more
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; The given expression can be written as or ... more
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The result of the given expression is always 1 ... more
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; ; ; ; ; ; ; Any point on a unit circle implies... more
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; ; ; ; ; ; ; Any point on a unit circle ... more
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; ; ; ; ; ; ; Any point on a unit circle ... more
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; ; ; ; ; ; ; Any point on a unit circle ... more
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; ; ; ; ; ; ; Any point on a unit circle ... more
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; ; ; ; ; ; ; Any point on a unit circle ... more
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; ; ; 2 ; For the known values of and , the other... more
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; ; ; ; For the known values of and , the other ... more
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; ; ; ; For the known values of and , the other ... more
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; ; ; ; For the known values of and , the other ... more
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; ; 2, ; For the known values of and , the other ... more
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; ; ; ; For the known values of and , the other ... more
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; Any point on a unit circle implies and , ... more
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; Any point on a unit circle implies , and , ... more
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; Any point on a unit circle implies , , and , ... more
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; Any point on a unit circle implies , and , ... more
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; Any point on a unit circle implies and , ... more
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; Any point on a unit circle implies , and , ... more
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Divide both sides of the Pythagorean identity by... more
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Divide both sides of the Pythagorean identity by... more
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; Draw a unit circle and plot the point on the ... more
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; Draw a unit circle and plot the point on the ... more
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; Draw a unit circle and plot the point on the ... more
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; Draw a unit circle and plot the point on the ... more
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; Draw a unit circle and plot the point on the ... more
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; Draw a unit circle and plot the point on the ... more
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; Draw a unit circle and plot the point on the ... more
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; Draw a unit circle and plot the point on the ... more
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; Rewrite as .The conversion factor to convert ... more
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; Rewrite the given expression as .The conversion... more
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; ; ; ; ; ; The given value of is .Calculate the ... more
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; ; ; ; ; ; Press the ON button to turn on the ... more
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The graph of the cosine function is shifted to the... more
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The student should change the mode of the ... more
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Consider the trigonometric function , where ... more
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Consider the function , where is the amplitude, ... more
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Consider the function , where is the amplitude, ... more
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2; ; Substitute the -values in the given equation ... more
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3; ; Substitute the -values in the given equation ... more
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; ; Substitute the -values in the given equation ... more
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; ; Substitute the -values in the given equation ... more
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1; ; Substitute the -values in the given equation ... more
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1; ; Substitute the -values in the given equation ... more
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2; ; Substitute the -values in the given equation ... more
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3; ; Substitute the -values in the given equation ... more
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;1 ; The period of a sine or cosine function of ... more
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;1 ; The period of a sine or cosine function of ... more
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;1 ; The period of a sine or cosine function of ... more
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;1 ; The period of a sine or cosine function of ... more
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;2 ; The period of a sine or cosine function of ... more
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; 3 ; The period of a sine or cosine function of ... more
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; 2 ; The period of a sine or cosine function of ... more
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; 5 ; The period of a sine or cosine function of ... more
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; The period of a sine or cosine function of the ... more
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; The period of a sine or cosine function of the ... more
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; The period of a sine or cosine function of the ... more
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; The period of a sine or cosine function of the ... more
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; The period of a sine or cosine function of the ... more
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; The period of a sine or cosine function of the ... more
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; The period of a sine or cosine function of the ... more
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; The period of a sine or cosine function of the ... more
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; The nature of the sine function is as follows:... more
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; The nature of the sine function is as follows:... more
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; The nature of the cosine function is as follows... more
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; The nature of the cosine function is as follows... more
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; The nature of the sine function is as follows:... more
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; The nature of the cosine function is as follows... more
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; The nature of the cosine function is as follows... more
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; The nature of the sine function is as follows:... more
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; The nature of the cosine function is as follows... more
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; The nature of the cosine function is as follows... more
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; The nature of the sine function is as follows:... more
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; The nature of the cosine function is as follows... more
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; The nature of the sine function is as follows:... more
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; The nature of the given cosine function is as ... more
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; The trigonometric functions of the forms , , ... more
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; The trigonometric functions of the form , , or... more
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; The trigonometric functions of the form , , or... more
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; The trigonometric functions of the forms , , ... more
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; The trigonometric functions of the form , , or... more
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; The amplitude of the trigonometric functions of... more
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24 ; The period is the distance between two ... more
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1.2 ; The amplitude of a periodic function is ... more
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The graph shows that the tide oscillates between ... more
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; In order to obtain the desired result, replace... more
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1; ; The amplitude of a sine wave is the half of ... more
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1; ; The amplitude of a sine wave is the half of ... more
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The coordinates from to represent the region ... more
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, where is any integer;, where is any integer... more
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Parabolas do not have asymptotes while the U-... more
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Substitute 0 for in the given function to obtain ... more
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The tangent function has vertical asymptotes at , ... more
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False.The vertical asymptotes of the cotangent ... more
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False.The secant function is undefined for .The ... more
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The secant function is not defined for , where is... more
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; The function is equivalent to . Therefore, is... more
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; The function is equivalent to . Therefore, is... more
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; The function is equivalent to . Therefore, is... more
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; The function is equivalent to . Therefore, is... more
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The function is the secant function and therefore ... more
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The function is the secant function and therefore ... more
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The function is the secant function and therefore ... more
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The function is the secant function and therefore ... more
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The function is the secant function and therefore ... more
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The function is the secant function and therefore ... more
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The function is the cosecant function and ... more
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The function is the cosecant function and ... more
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The function is the cosecant function and ... more
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The function is the secant function and therefore ... more
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The function is the secant function and therefore ... more
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The function is the cosecant function and ... more
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The function is the secant function and therefore ... more
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The function is the cosecant function and ... more
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The function is the secant function and therefore ... more
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The function is the cosecant function and ... more
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The function is the cosecant function and ... more
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The function is the secant function and therefore ... more
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The period for the function is .The equations of ... more
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The period for the function is .The equations of ... more
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The period for the function is .The equations of ... more
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The period for the function is .The equations of ... more
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The period for the function is .The equations of ... more
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The period for the function is .The equations of ... more
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The period for the function is .The equations of ... more
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The period for the function is .The equations of ... more
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The period for the function is .The equations of ... more
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Compare the given function with . The values of ... more
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Compare the given function with . The values of ... more
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Compare the given function with . The values of ... more
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Compare the given function with . The value of is... more
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Compare the given function with . The value of is... more
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Compare the given function with . The values of ... more
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Compare the given function with . The values of ... more
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Rewrite the given function as .As function is ... more
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Consider a given function and equate to and ... more
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Consider a given function and equate to 0 and ... more
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Consider a given function and then equate is ... more
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Consider a given function and then equate is ... more
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Consider a given function and then equate is ... more
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Consider a given function and then equate is ... more
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Consider a given function and then equate equal ... more
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Consider a given function and equate to 0 and ... more
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; The given graph is a graph of because the ... more
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; The given graph is a graph of because the ... more
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; The given graph is a graph of because the ... more
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; The given graph is a graph of because the ... more
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; The given graph is a graph of because the ... more
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; The given graph is a graph of because the ... more
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; The given graph is a graph of because the ... more
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; The given graph is a graph of because the ... more
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; The given graph is a graph of because the ... more
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; The given graph resembles the standard graph of... more
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; The given graph is a graph of because the ... more
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; The graph is of secant function stretched ... more
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; The graph is of cosecant function stretched ... more
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; The graph is of a cosecant function stretched ... more
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Compare with the function form where variables ... more
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Period: ; Amplitude: ; Phase shift: ; Compare ... more
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; ; ; ; ; Consider the corresponding guide ... more
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; ; ; and ; Consider the corresponding guide ... more
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; and ; Consider the function to obtain the ... more
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; and ; Consider the function to obtain the ... more
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Two angles in standard position that share a ... more
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; ;,, , , , ;Hence, it is verified that the ... more
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A simple mnemonic statement is "Accumulation of ... more
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; ; ;; ; ; Consider the given point as and the ... more
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. ; Draw the unit circle with the given point as ... more
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The answers are the same for each trigonometric ... more
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All the functions will have the same values as ... more
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; To rationalize the given expression, multiply ... more
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; To rationalize the given expression, multiply ... more
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; To rationalize the given expression, multiply ... more
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; To rationalize the given expression, multiply ... more
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; To rationalize the given expression, multiply ... more
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; To rationalize the given expression, multiply ... more
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; To rationalize the given expression, multiply ... more
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; To rationalize the given expression, multiply ... more
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; To rationalize the given expression, multiply ... more
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; To rationalize the given expression, multiply ... more
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; Multiply the numerator and denominator of the ... more
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; Multiply the numerator and denominator of the ... more
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; ; ; ; ; ; Plot the point in the graph and draw ... more
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; ; ; ; ; ; Plot the point in the graph and draw ... more
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; ; ; ; ; ; Plot the point in the graph and draw ... more
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; ; ; ; ; ; Any point on the terminal side of the ... more
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0; The calculator shows the value of the given ... more
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1;The calculator shows the value of the given ... more
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0; The calculator shows the value of the given ... more
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; The calculator shows the value of the given ... more
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1; The calculator shows the value of the given ... more
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0; The calculator shows the value of the given ... more
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Undefined ; The line from the origin to the point... more
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; The calculator shows the value of the given ... more
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; The calculator shows the value of the given ... more
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0; The calculator shows the value of the given ... more
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1; The calculator shows the value of the given ... more
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1; The calculator shows the value of the given ... more
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0; The calculator shows the value of the given ... more
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; The reciprocal of is .Substitute the given ... more
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; The reciprocal of is .Substitute the given ... more
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; The reciprocal of is .Substitute the given ... more
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; The reciprocal of is .Substitute the given ... more
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, ; Both of the given trigonometric functions are ... more
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and ; Cosine and secant functions are positive in... more
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; The trigonometric function cosine is positive ... more
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; The trigonometric function sine is positive in ... more
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; The trigonometric function cosine is negative ... more
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; The trigonometric function cosine is negative ... more
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; The trigonometric function secant is positive ... more
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; The trigonometric function cotangent is ... more
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; The trigonometric function secant is negative ... more
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; The trigonometric function secant is negative ... more
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, ; The trigonometric function sine is negative in... more
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and ; The trigonometric function tangent is ... more
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The functions in question 87 are the reciprocals ... more
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If is positive, then being the reciprocal of , ... more
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The trigonometric function lies between and 1, i... more
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The trigonometric function lies between and 1, i... more
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The trigonometric function lies between and 1, i... more
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The trigonometric function lies between and 1, i... more
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The trigonometric function lies between and , i.... more
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The range of the cotangent function is the entire ... more
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The absolute value of the secant function is ... more
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The absolute value of the secant function is ... more
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The absolute value of the cosecant function is ... more
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The absolute value of the cosecant function is ... more
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The range of the cotangent function is the entire ... more
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The range of the trigonometric ratio is . This ... more
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The range of the sine function is . The value ... more
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The range of the trigonometric ratio is , which ... more
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The range of the cosine function is . Therefore, ... more
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No such angle exists ; The trigonometric function... more
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; ; ; ; ; ; It is given that and the lies in the... more
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;;;;; ; In quadrant , all trigonometric ratios are... more
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;;;;; ; In quadrant , the trigonometric ratios ... more
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;;;;; ; As is the reciprocal of , the value of ... more
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;;;;; ; The trigonometric ratio is positive and ... more
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;;;;; ; As is the reciprocal of , the value of ... more
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;;;;; ; As is the reciprocal of , the value of ... more
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; If is acute, then it lies in quadrant and all... more
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; The trigonometric function is the reciprocal ... more
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; Use the pythagorean identity to evaluate .Add... more
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; If lies in quadrant or , then the ... more
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Divide both sides of the equation by to simplify... more
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Substitute for and for in the expression and ... more
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; Grade is the slope of an inclination expressed ... more
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; Grade is the slope of an inclination expressed ... more
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The right process is the calculation of the term... more
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; ; ; ; ; ; From the given figure, it is observed ... more
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; ; The value of is , where is the height and ... more
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; ; ; ; The value of is , where is the height ... more
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The exact value is but the student gave the ... more
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The angle is given in radians not in degrees. ; ... more
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; For an angle in first quadrant, the reference ... more
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; ; The coterminal angles are the angles which ... more
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; The coterminal angles are the angles which ... more
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; The coterminal angles are the angles which ... more
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. ; Coterminal angles have the same initial side ... more
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0.5543090515 ; Press the On button to turn on the ... more
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0.6156614753 ; Press the MODE button and select ... more
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1.134277349 ; Press the MODE button and select the... more
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1.776814578 ; Press the MODE button and select the... more
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0.4771587603 ; Press the MODE button and select ... more
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0.6743023876 ; Press the MODE button and select ... more
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; ; The given value of lies on the second ... more
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; ; The given value of lies on the second ... more
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; ; The given value of lies on the third quadrant... more
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; ; The given value of lies on the fourth ... more
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; ; The coterminal angles are the angles which ... more
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; ; The coterminal angles are the angles which ... more
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; ; The coterminal angles are the angles which ... more
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; ; The coterminal angles are the angles which ... more
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; ; From the given equation, it is clear that the... more
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, ; The reference angle is the acute positive ... more
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, ; The reference angle is the acute positive ... more
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, ; The reference angle is the acute positive ... more
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, ; Use the table for the function values of ... more
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, ; In a calculator, press the MODE button and ... more
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0.2095206607, 3.351113314 ; In a calculator, press... more
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0.6718062049, 5.611379102 ; In a calculator, press... more
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1.27979966, 4.421392314 ; In a calculator, press ... more
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1.363138008, 1.778454646 ; In a calculator, press ... more
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6.38297872; Distance of the point from the ... more
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; Press the ON key to turn on the calculator.... more
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; Store the values of R, X and Y as in the ... more
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; Store the values of R, X and Y as in the ... more
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Each of the expressions in questions 122-124 ... more
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slope; tangent ; The general equation of a line in... more
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; Substitute 5000 for and 400 for in the given ... more
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; Substitute 3500 for and 130 for in the given ... more
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; The speed of light in air is meter per second.... more
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; The speed of light in air is meter per second.... more
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; Substitute for , for and for in the Snell’... more
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; The Snell’s law formula is , where is the ... more
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; One mile per hour is equivalent to 1.467 feet ... more
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; ; ; The sine of an angle is equivalent to , ... more
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; ; ; The sine of an angle is equivalent to , ... more
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; ; ; The cosine of an angle is equivalent to , ... more
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; ; ; The sine of an angle is equivalent to , ... more
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; ; ; The sine of an angle is equivalent to , ... more
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; ; ; The sine of an angle is equivalent to , ... more
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; ; ; The Pythagorean theorem states that in a ... more
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; ; ; The Pythagorean theorem states that in a ... more
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; ; ; The Pythagorean theorem states that in a ... more
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; ; ; The Pythagorean theorem states that in a ... more
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; Draw a rough sketch of the given right angled ... more
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; Draw a rough sketch of the given right angled ... more
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; Draw a rough sketch of the given right angled ... more
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Another acute angle ; The sum of the angles is . ... more
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No ; Two similar triangles have the same angles.... more
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The triangle is a right triangle, where the angle... more
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The reason is, it is not given that the two lines... more
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; Draw a right triangle with the given ... more
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; Draw a right triangle with the given ... more
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; Draw the given figure and label its vertices. ... more
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; Draw the given figure and label its vertices. ... more
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; Draw a right triangle with the given ... more
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; Draw a right triangle with the given ... more
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; Draw the right triangles and with the given ... more
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; Draw the right triangles and with the given ... more
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; Draw the right triangles and with the given ... more
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; Draw the given figure and label its vertices... more
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; Draw the triangle where the point is the 1st ... more
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; Consider the position of the transmitter as .... more
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; As the line in the north direction is ... more
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; The plane moves the distance AC in a bearing of... more
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; Consider that the ship moves the line AC on a ... more
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; Draw the diagram of the path of the ships, name... more
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4;;North-east roughly ; As the runway is numbered ... more
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36;;north direction ; As the runway is numbered ... more
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;South-west direction roughly ; As the runway is ... more
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The direction the plane will take off on the ... more
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33.4 m ; The complementary angles are the angles ... more
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583 feet ; Consider the position of the ... more
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; The hexagon can be divided into six equilateral... more
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;;;; ; Name the vertices of the diagram.The ... more
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;;;; ; Name the vertices of the diagram.The ... more
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;;;; ; Name the vertices of the diagram.The ... more
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; ; ; ; The tangent of an acute angle in a right ... more
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; The formula for area of a triangle is , where ... more
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; The formula for area of a triangle is , where ... more
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5 ; The position of a point wavering about a ... more
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; The position of a point wavering about a ... more
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oscillations per second ; The position of a point... more
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5 ; Substitute 0 for in the given equation to ... more
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; Substitute for in the given equation to ... more
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; The range of the cosine function is .In the ... more
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; ; It is given that .Substitute for in to ... more
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; The formula for the period of the oscillation ... more
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; The formula for the up and down motion of a ... more
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; The equilibrium position is the position at .... more
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; Substitute 6 for in the given equation and ... more
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From the graph, it is observed that the graph ... more
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3 ; From the graph of question 29, it is observed ... more
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; ; ; ; ; ; Plot the point on the graph and draw ... more
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, , , , ; The sine of angle is given by , where ... more
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, , , , , ; Consider the lengths of the sides ... more
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, , , , , ; Begin by calculating the reference ... more
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; The tangent values are positive only in the ... more
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0.75; 2.391592654 ; Calculate the value of by ... more
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19600 ft ; Draw an appropriate drawing depicting ... more
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; Two angles are said to be coterminal angles if... more
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; Two angles are said to be coterminal angles if ... more
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; There are 60 seconds in a minute.The pulley ... more
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; There are 60 seconds in a minute.The propeller ... more
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Angle of 1 radian as . ; An angle of is ... more
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; Multiply the measure of the angle by to ... more
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; A complete rotation is measured as or .... more
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; As , the given expression can be written as .A ... more
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1 ; A complete rotation is measured as or .... more
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2 ; As , the given expression can be written as .A... more
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0.9703 ; As , the given expression can be written ... more
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0.5149 ; The equivalent expression for is .Thus, ... more
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Amplitude=2; Period=; Vertical translation=None; ... more
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Amplitude=None; Period=; Vertical translation=None... more
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Amplitude=; Period=; Vertical translation=None; ... more
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Amplitude:Not applicable; Period: ; Vertical ... more
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Amplitude:Not applicable; Period: ;Vertical ... more
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Amplitude:Not applicable; Period: ; Vertical ... more
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Amplitude:Not applicable; Period: ; Vertical ... more
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The period of cosine function of the form , where... more
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The vertical asymptotes of a cotangent function of... more
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The period of a sine or cosine function of the ... more
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The vertical asymptotes of a tangent function of ... more
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The period of cosine function of the form , where... more
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The period of sine function of the form , where ... more
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Tangent ; The six circular functions are sine, ... more
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Sine ; The six circular functions are sine, cosine... more
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Cosine ; The six circular functions are sine, ... more
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Cosecant ; The six circular functions are sine, ... more
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Cotangent ; The six circular functions are sine, ... more
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Secant ; The six circular functions are sine, ... more
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; The equation of a sine function with amplitude... more
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; The equation of a sine function with amplitude... more
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; The equation of a sine function with amplitude... more
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; The equation of a sine function with amplitude... more
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; ; ; ; ; ; The distance between a point and the ... more
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; ; ; ; ; ; The distance between a point and the ... more
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Tangent, secant ; For an angle formed by the ... more
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The range of a secant function for the domain is... more
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The range of a tangent function for the domain is... more
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;; ; ; ; ; A trigonometric identity states that , ... more
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, , , , and . ; The cosine of an angle is ... more
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Fourth quadrant; Negative ; The sign of cosine ... more
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; The sine of an angle is equivalent to , where... more
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; The sine of an angle is equivalent to , where... more
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, , , , and ; Subtract the given angle from to ... more
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0.9537 ; Turn on the graphing calculator.Press the... more
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0.20834446 ; Turn on the graphing calculator.Press... more
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413 ; The tangent of an angle is equivalent to , ... more
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4; 2 second; 0.5 oscillation per second ; The ... more
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3; second; oscillation per second ; The general ... more
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Number of oscillations per second;4 inches below ... more
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Time to complete 1 oscillation; maximum ... more
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; Two angles are said to be coterminal if both ... more
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. ; The number of rotations is 450 in a minute.... more
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; The central angle is given as .One degree is ... more
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The period of sine function is , therefore the ... more
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; The equation of the graph is in the form .The ... more
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0.97169234 ; Calculate the value of by ... more
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; ; ; ; The tangent of any angle in a right ... more
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; Coterminal angles are angles that have a common... more
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; ; ; The measure of is the difference of and ... more
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; Draw a right-angled triangle.The distance ... more
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; The maximum value of a trigonometric function ... more
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At second ; The maximum height that can be ... more
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; Draw a right triangle with the given ... more
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34 miles ; Consider the position of the laser beam... more