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: 13

Answer

$\pi $

Work Step by Step

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