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 259: 58

Answer

$101.26735^{\circ}$

Work Step by Step

Ensuring that the calculator is in degree mode, we enter $\sec^{-1} (-5.1180378)$ as $\cos^{-1} (\frac{1}{-5.1180378})$ into the calculator and solve: $\cos^{-1} (\frac{1}{-2.7733744})\approx101.26735^{\circ}$
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