Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.8 Inverse Trigonometric Functions - Exercises - Page 374: 11



Work Step by Step

Since $\tan\left(\frac{3\pi}{4}\right)=-1$, we have $$\tan^{-1}\left(\tan\left(\frac{3\pi}{4}\right)\right)=\tan^{-1}\left(-1\right)=-\frac{\pi}{4}.$$
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