Answer
$\textbf{False.}$
Work Step by Step
$$arccos(\frac{1}{2})=\frac{\pi}{3}\ne-\frac{\pi}{3}$$
Note that the range of f(x) is defined to be $[0,\pi]$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.6 Exercises - Page 373: 85
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