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: 56


(a) $\frac{2\pi}{3}$ $-\frac{4\pi}{3}$ (b) $\frac{98\pi}{45}$ $-\frac{82\pi}{45}$

Work Step by Step

(a) $\frac{8\pi}{3}-2\pi=\frac{8\pi}{3}-\frac{6\pi}{3}=\frac{2\pi}{3}$ $\frac{2\pi}{3}-2\pi=\frac{8\pi}{3}-2(2\pi)=\frac{8\pi}{3}-\frac{12\pi}{3}=-\frac{4\pi}{3}$ (b) $\frac{8\pi}{45}+2\pi=\frac{8\pi}{45}+\frac{90\pi}{45}=\frac{98\pi}{45}$ $\frac{8\pi}{45}-2\pi=\frac{8\pi}{45}-\frac{90\pi}{45}=-\frac{82\pi}{45}$
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