Answer
False
Work Step by Step
The range of $\tan^{-1}$ is defined as $(-\frac{\pi}{2}, \frac{\pi}{2})$ but $\frac{3\pi}{4}$ is outside of this range, so the statement can not be true.
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 1 - Review - True-False Quiz - Page 69: 12
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