Answer
$\frac{\pi}{4}$
Work Step by Step
$\tan^{-1}(\tan(\frac{\pi}{4}))= \tan^{-1}(1)$
Let $\tan^{-1}(1)=y$.
Then, $\tan y= 1= \tan\frac{\pi}{4}$
$⇒y=\frac{\pi}{4}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 5 - Section 5.5 - Inverse Trigonometric Functions and Their Graphs - 5.5 Exercises - Page 445: 39
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