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: 36



Work Step by Step

Step 1: Using the reciprocal identity $\csc\theta=\frac{1}{\sin\theta}$, we write $\csc \theta=9.5670466$ as $\frac{1}{\sin\theta}=9.5670466$ Step 2: Using cross-multiplication, $\frac{1}{\sin\theta}=\frac{9.5670466}{1}$ is written as $\sin\theta=\frac{1}{9.5670466}$ Step 3: Writing $\sin\theta=\frac{1}{9.5670466}$ as $\theta=\sin^{-1} \frac{1}{9.5670466}$ Step 4: Using degree mode, we type $\sin^{-1} \frac{1}{9.5670466}$ into the calculator and solve: $\theta=\sin^{-1} \frac{1}{9.5670466}=5.999827^{\circ}$
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