Trigonometry (10th Edition)

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

Chapter 3 - Radian Measure and the Unit Circle - Section 3.3 The Unit Circle and Circular Functions - 3.3 Exercises - Page 118: 58

Answer

$1.2799$

Work Step by Step

$\cot s=\frac{1}{\tan s}=0.2994$ $\frac{1}{\tan s}=0.2994$ can be rearranged to $\tan s=\frac{1}{0.2994}$ $\tan s=\frac{1}{0.2994}$ is further rearranged to $s=\tan^{-1} \frac{1}{0.2994}$ Ensuring that the calculator is in radians, we type $\tan^{-1} \frac{1}{0.2994}$ into the calculator and solve: $s=\tan^{-1} \frac{1}{0.2994}\approx1.2799$
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