Trigonometry 7th Edition

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

Chapter 3 - Section 3.1 - Reference Angle - 3.1 Problem Set - Page 122: 68



Work Step by Step

Given- $\cot\theta$ = - $0.1234$ , $\theta$ belongs to Q IV We will find reference angle of $\theta$ first, using calculator in degree mode by the$\frac{1}{x}$ and $\tan^{-1}$ key with the positive value $0.1234$ as $\tan\theta$ = $\frac{1}{\cot\theta}$ $0.1234$ → $\frac{1}{x}$ → $\tan^{-1}$→→ 82.965264244 i.e. reference angle of $\theta$ = $82.965264244^{\circ}$ The desired angle $\theta$ is in Q IV, whose reference angle is $82.965264244^{\circ}$. Also $0^{\circ}\leq \theta\lt 360^{\circ}$ Therefore- $\theta$ = $360^{\circ} - 82.965264244^{\circ}$ = $277.03473576^{\circ}$ = $277^{\circ}$ (to the nearest tenth of a degree)
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