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: 48


$cot^{-1}{-\frac{1}{2}}$ is defined. $\cos^{-1}{-5}$ is undefined.

Work Step by Step

a) $cot^{-1}{-\frac{1}{2}}$ is defined because the value of cotanget lies between$-\infty$ and $\infty$. b) $\cos^{-1}{-5}$ is not defined because the value of cos lies between -1 and 1.
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