Answer
= x
Work Step by Step
Simplifying,
Let
$\sin^{–1}(\sin x) = \theta$
$ => \sin x = \sin \theta$, Given $\frac{–\pi}{2} \leq x \leq \frac{\pi}{2}$
$=> \theta = x$
$=> \sin^{–1}(\sin x) = \theta = x$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 4 - Section 4.7 - Inverse Trigonometric Functions - 4.7 Problem Set - Page 262: 81
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