Answer
True.
$-\frac{\pi}{4}$ lies in the range of $arctan~x$
Work Step by Step
The range of $y=arctan~x$ is $(-\frac{\pi}{2},\frac{\pi}{2})$ and $-\frac{\pi}{2}\lt-\frac{\pi}{4}\lt\frac{\pi}{2}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 6 - 6.6 - Inverse Trigonometric Functions - 6.6 Exercises - Page 487: 107
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