Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.3 - Trigonometric Function of Any Angle - 6.3 Exercises - Page 456: 116b

Answer

$\cos \left(\frac{3\pi}{2}-\theta\right)=-\sin\theta$

Work Step by Step

Since the values of $\cos \left(\frac{3\pi}{2}-\theta\right)$ and $-\sin \theta$ are the same, the two functions are equivalent. $\cos \left(\frac{3\pi}{2}-\theta\right)=-\sin\theta$
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