Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.6 - Inverse Trigonometric Functions - 6.6 Exercises - Page 485: 54


It is not possible.

Work Step by Step

Let $u=cos^{-1}\sqrt 5$. Then: $cos~u=\sqrt 5$ The domain of $y=cos^{-1}x$ is $-1\leq x\leq1$. But, $\sqrt 5\gt1$. So, there is no $u$ such that $cos~u=\sqrt 5$
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