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: 60

Answer

(a) $315°=\frac{7\pi}{4}rad$ (b) $120°=\frac{2\pi}{3}rad$

Work Step by Step

$\pi~rad=180°$ $\frac{\pi~rad}{180°}=1$ (a) $315°=315°(\frac{\pi~rad}{180°})=\frac{315°(\pi~rad)}{180°}=\frac{7(45°)\pi}{4(45°)}rad=\frac{7\pi}{4}rad$ (b) $120°=120°(\frac{\pi~rad}{180°})=\frac{120°(\pi~rad)}{180°}=\frac{2(60°)\pi}{3(60°)}rad=\frac{2\pi}{3}rad$
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