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: 61


(a) $20°=\frac{\pi}{9}rad$ (b) $-60°=-\frac{\pi}{3}rad$

Work Step by Step

$\pi~rad=180°$ $\frac{\pi~rad}{180°}=1$ (a) $20°=20°(\frac{\pi~rad}{180°})=\frac{20°(\pi~rad)}{180°}=\frac{20°\pi}{9(20°)}rad=\frac{\pi}{9}rad$ (b) $-60°=-60°(\frac{\pi~rad}{180°})=\frac{-60°(\pi~rad)}{180°}=\frac{-1(60°)\pi}{3(60°)}rad=-\frac{\pi}{3}rad$
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