Answer
The graphs of $y=\displaystyle \tan x, x\in(-\frac{\pi}{2},\frac{\pi}{2})$
and $y=\tan^{-1}x\qquad $(or $\arctan x)$
are reflections of each other about the line $y=x.$
Work Step by Step
Graphed with desmos.com/calculator.
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - 6.6 Inverse Trigonometric Functions - 6.6 Exercises - Page 481: 16
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