Answer
$y=\frac{\pi}{4}$
Work Step by Step
RECALL:
$y=\sin^{-1}{x} \longrightarrow \sin{y}=x$
Note that $\sin{(\frac{\pi}{4})}=\frac{\sqrt{2}}{2}$.
Therefore,
$y=\sin^{-1}{(\frac{\sqrt2}{2})}\longrightarrow y=\frac{\pi}{4}$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 6 - Review Exercises - Page 285: 5
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