Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.1 - Angles and Their Measure - 6.1 Exercises - Page 431: 62


(a) $-270°=-\frac{3\pi}{2}rad$ (b) $144°=\frac{4\pi}{5}rad$

Work Step by Step

$\pi~rad=180°$ $\frac{\pi~rad}{180°}=1$ (a) $-270°=-270°(\frac{\pi~rad}{180°})=\frac{-270°(\pi~rad)}{180°}=\frac{-3(90°)\pi}{2(90°)}rad=-\frac{3\pi}{2}rad$ (b) $144°=144°(\frac{\pi~rad}{180°})=\frac{144°(\pi~rad)}{180°}=\frac{4(36°)\pi}{5(36°)}rad=\frac{4\pi}{5}rad$
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