Answer
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 $cos~u=\sqrt 5$
Algebra and Trigonometry 10th Edition
by Larson, Ron
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
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