Trigonometry (11th Edition) Clone

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

Chapter 2 - Review Exercises - Page 94: 32



Work Step by Step

Step 1: Using the reciprocal identity $\cot\theta=\frac{1}{\tan\theta}$, we write $\cot \theta=1.1249386$ as $\frac{1}{\tan\theta}=1.1249386$ Step 2: Using cross-multiplication, $\frac{1}{\tan\theta}=\frac{1.1249386}{1}$ is written as $\tan\theta=\frac{1}{1.1249386}$ Step 3: Writing $\tan\theta=\frac{1}{1.1249386}$ as $\theta=\tan^{-1} \frac{1}{1.1249386}$ Step 4: Using degree mode, we type $\tan^{-1} \frac{1}{1.1249386}$ into the calculator and solve: $\theta=\tan^{-1} \frac{1}{1.1249386}=41.635092^{\circ}$
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