Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 5 - Section 5.2 - Sum and Difference Formulas - 5.2 Problem Set - Page 288: 28

Answer

See the steps.

Work Step by Step

$\cos{(x-\dfrac{3\pi}{2})} = \cos{x} \cos{\dfrac{3\pi}{2}} + \sin{x} \sin{\dfrac{3\pi}{2}}$ $\cos{(x-\dfrac{3\pi}{2})} = \cos{x} \times 0 + \sin{x} \times -1 = -\sin{x}$
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