Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - 6.2 The Unit Circle and Circular Functions - 6.2 Exercises: 66

Answer

$\color{blue}{s \approx 1.2799}$

Work Step by Step

RECALL: $\cot{\theta}=\dfrac{1}{\tan{\theta}}$ and $\tan{\theta}=\dfrac{1}{\cot{\theta}}$ With $\cot{s}=0.2994$, then $\tan{s}=\dfrac{1}{0.2994}$ To find $s$, use the inverse tangent function of a calculator in radian mode, then round-off the answer to four decimal places to obtain: $s=\tan^{-1}{(\frac{1}{0.2994})} \color{blue}{\approx 1.2799}$
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