Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 2 - Section 2.2 - Calculators and Trigonometric Functions of an Acute Angle - 2.2 Problem Set - Page 71: 60

Answer

$\theta$ = $32.1^{\circ}$

Work Step by Step

Given, $\tan\theta$ = $0.6273$ Therefore- $\theta$ = $\tan^{-1} 0.6273$ Given $\theta$ is between $0^{\circ}$ and $90^{\circ}$, i.e. lies in QI Using calculator in degree mode-(0.6273 → $\tan^{-1}$) $\theta$ = $(32.100048622) ^{\circ}$ On rounding to the nearest tenth of a degree- $\theta$ = $32.1^{\circ}$
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