Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.1 Inverse Circular Functions - 6.1 Exercises - Page 260: 95

Answer

$0.894427191$

Work Step by Step

To find $\cos(\tan^{-1} 0.5)$, we first need to find $\tan^{-1} 0.5$. Ensuring that the calculator is in radians, we type $\tan^{-1} 0.5$ into the calculator and solve: $\tan^{-1} 0.5\approx0.463647609$ $\cos(\tan^{-1} 0.5)$ now becomes $\cos (0.463647609)$. Typing $\cos (0.463647609)$ into the calculator and solving: $\cos (0.463647609)\approx0.894427191$ Therefore, $\cos(\tan^{-1} 0.5)\approx0.894427191$
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