Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.3 Trigonometric Equations - 7.3 Assess Your Understanding - Page 466: 48

Answer

$0.93, 5.36$.

Work Step by Step

The domain of $\cos^{-1}{x}$ is the range of $\cos{x}$, which is $[−1, 1] $. The range of $\cos^{-1}{x}$ is a specified domain of $\cos{x}$, i.e. $\left[0,\pi \right]$. After using a calculator in radian mode the solutions for $\cos^{-1}{0.6}$ is $0.93$ (given by the calculator) and because the cosine function is symmetric to $x=0$ the second solution is: $-0.93+2\pi\approx5.36$. (for it to be in the right domain).
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