University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 3 - Section 3.9 - Inverse Trigonometric Functions - Exercises - Page 181: 45


(a) $\tan^{-1}{2}$ is defined. (b) $\cos^{-1}{2}$ is undefined

Work Step by Step

a) The domain of arctan includes all real numbers, so $\tan^{-1}{2}$ is defined. b) The domain of arccos lies between -1 and 1, but the value 2 does not lie in that interval, so $\cos^{-1}{2}$ is not defined.
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