Explanation Given information: The condition is sin t = sin ( − 4 π 3 ) , where − π 2 ≤ t ≤ π 2 Explanation: On the unit circle, locate a point P which is determined by an angle of − 4 π 3 radians. The co-ordinate of P is ( cos ( − 4 π 3 ) , sin ( − 4 π 3 ) ) . There is another point Q on the circle which has the same y -coordinate as P Let t be the radian measure of the angle determined by Q As − π 2 ≤ t ≤ π 2 , ⇒ − 4 π 3 = − π − π 3

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ISBN: 9780137638826

Author: Goldstein

Publisher: PEARSON

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Chapter 8.2, Problem 29E

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The value of t, such that −π2≤t≤π2 that satisfies the condition sint=sin(−4π3).

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Chapter 8.2, Problem 28E

Chapter 8.2, Problem 30E

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The value of t , such that − π 2 ≤ t ≤ π 2 that satisfies the condition sin t = sin ( − 4 π 3 ) .

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The value of t, such that −π2≤t≤π2 that satisfies the condition sint=sin(−4π3).

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Chapter 8 Solutions