Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.3 The Unit Circle and Circular Functions - 3.3 Exercises - Page 124: 65

Answer

$0.3887$

Work Step by Step

$\sec s=\frac{1}{\cos s}=1.0806$ $\frac{1}{\cos s}=1.0806$ can be rearranged to $\cos s=\frac{1}{1.0806}$ $\cos s=\frac{1}{1.0806}$ is further rearranged to $s=\cos^{-1} \frac{1}{1.0806}$ Ensuring that the calculator is in radians, we type $\cos^{-1} \frac{1}{1.0806}$ into the calculator and solve: $s=\cos^{-1} \frac{1}{1.0806}\approx0.3887$
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