Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 10 - Compositions, Inverses, and Combinations of Functions - 10.2 Invertibility and Properties of Inverse Functions - Exercises and Problems for Section 10.2 - Exercises and Problems - Page 410: 4



Work Step by Step

Using the inverse function as the problem asks us to do, we find: $$\cos \left(x\right)=-0.2 \\ x=\pm \arccos \left(-0.2\right)+2\pi n\\ x=1.77$$ This is not the only possible solution, for cosine is a periodic function.
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