Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 12 - Sequences; Induction; the Binomial Theorem - Chapter Review - Cumulative Review - Page 840: 11

Answer

$\frac{2\pi}{3}$

Work Step by Step

$\cos^{-1}{-\frac{1}{2}}=\frac{2\pi}{3}$, because $\cos{\frac{2\pi}{3}}=-\frac{1}{2}$ and $\frac{2\pi}{3}$ is in the range of $\cos^{-1}{x}$, which is $[0,\pi].$
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