Answer
The identity is verified.
$cos(x+\frac{\pi}{2})=-sin~x$
Work Step by Step
$cos(x+\frac{\pi}{2})=cos~x~cos\frac{\pi}{2}-sin~x~sin\frac{\pi}{2}=cos~x(0)-sin~x(1)=-sin~x$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 7 - Review Exercises - Page 553: 57
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