Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 6 - Review Exercises - Page 285: 9

Answer

$y=\frac{3\pi}{4}$

Work Step by Step

RECALL: $y=\cos^{-1}{x} \longrightarrow \cos{y}=x$, $y$ is in the interval $[0, \pi]$ Note that $\cos {(\frac{3\pi}{4})}=-\frac{\sqrt2}{2}$. Therefore, $y=\cos^{-1}{(-\frac{\sqrt2}{2})}\longrightarrow y=\frac{3\pi}{4}$
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