Answer
$\frac{\sqrt 3}{2}$
Work Step by Step
We know, $\cos \frac{\pi}{3}=\frac{1}{2}$
$\implies \cos^{-1}\frac{1}{2}=\frac{\pi}{3}$
Then, $\sin(\cos^{-1}\frac{1}{2})=\sin(\frac{\pi}{3})=\frac{\sqrt 3}{2}$
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: 77
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