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: 55


(a) $-\frac{\pi}{4}$ $\frac{7\pi}{4}$ (b) $\frac{28\pi}{15}$ $-\frac{32\pi}{15}$

Work Step by Step

(a) $-\frac{9\pi}{4}+2\pi=-\frac{9\pi}{4}+\frac{8\pi}{4}=-\frac{\pi}{4}$ $-\frac{\pi}{4}+2\pi=-\frac{9\pi}{4}+2(2\pi)=-\frac{9\pi}{4}+\frac{16\pi}{4}=\frac{7\pi}{4}$ (b) $-\frac{2\pi}{15}+2\pi=-\frac{2\pi}{15}+\frac{30\pi}{15}=\frac{28\pi}{15}$ $-\frac{2\pi}{15}-2\pi=-\frac{2\pi}{15}-\frac{30\pi}{15}=-\frac{32\pi}{15}$
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