Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.4 Trigonometric Functions and Their Inverse - 1.4 Exercises - Page 48: 49

Answer

$tan^{-1}(1) = \frac{\pi}{4}$

Work Step by Step

The domain of $tan^{-1}(x)$ is all real numbers and the range is $[-\frac{\pi}{2}, \frac{\pi}{2}]$. $tan(\frac{\pi}{4}) = 1$, so $tan^{-1}(1) = \frac{\pi}{4}$.
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