Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.2 The Inverse Trigonometric Functions (Continued) - 7.2 Assess Your Understanding - Page 457: 3

Answer

$0.447.$

Work Step by Step

If $\tan{\theta}=0.5$, then $\theta=\tan^{-1}{0.5}.$ Hence then by using a calculator $\sin{\theta}=\sin{(\tan^{-1}{0.5})}\approx0.447.$
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