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: 63


(a) $\frac{3\pi}{2}rad=270°$ (b) $\frac{7\pi}{6}rad=210°$

Work Step by Step

$180°=\pi~rad$ $\frac{180°}{\pi~rad}=1$ (a) $\frac{3\pi}{2}rad=\frac{3\pi}{2}rad.\frac{180°}{\pi~rad}=\frac{3(2)(90°)}{2}=270°$ (b) $\frac{7\pi}{6}rad=\frac{7\pi}{6}rad.\frac{180°}{\pi~rad}=\frac{7(6)(30°)}{6}=210°$
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