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: 64

Answer

(a) $-\frac{7\pi}{12}rad=105°$ (b) $\frac{\pi}{9}rad=20°$

Work Step by Step

$180°=\pi~rad$ $\frac{180°}{\pi~rad}=1$ (a) $-\frac{7\pi}{12}rad=-\frac{7\pi}{12}rad.\frac{180°}{\pi~rad}=-\frac{7(12)(15°)}{12}=-105°$ (b) $\frac{\pi}{9}rad=\frac{\pi}{9}rad.\frac{180°}{\pi~rad}=\frac{(9)(20°)}{9}=20°$
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