Answer
$\frac{\pi}{3}$
Work Step by Step
Let $\sin^{-1}(\frac{\sqrt 3}{2})=y$.
Then, sin y= $\frac{\sqrt 3}{2}$.
We know that $\sin(\frac{\pi}{3})= \frac{\sqrt 3}{2}$. Therefore y=$\frac{\pi}{3}$.
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 261: 17
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