Explanation Given information: The condition is sin t = sin ( 3 π 4 ) , where − π 2 ≤ t ≤ π 2 . Explanation: On the unit circle, locate a point P which is determined by an angle of 3 π 4 radians. The co-ordinate of P is ( cos ( 3 π 4 ) , sin ( 3 π 4 ) ) 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 , ⇒ 3 π 4 =

12th Edition

ISBN: 9780137590810

Author: Larry J. Goldstein, David C. Lay, David I. Schneider, Nakhle H. Asmar, William Edward Tavernetti

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 27E

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The values of t, such that −π2≤t≤π2 that satisfies the condition sint=sin(3π4).

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Chapter 8.2, Problem 26E

Chapter 8.2, Problem 28E

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

Solution Summary: The author explains that the value of t that satisfies the condition mathrmsint=

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The values of t, such that −π2≤t≤π2 that satisfies the condition sint=sin(3π4).

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Chapter 8 Solutions