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: 16



Work Step by Step

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