Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - Review Exercises - Page 500: 10


(a) See the graph. (b) Quadrant I (c) $\frac{\pi}{3}$ and $-\frac{5\pi}{3}$

Work Step by Step

(b) A positive coterminal angle of $-\frac{4\pi}{3}$ is $\frac{2\pi}{3}$ $0\lt\frac{\pi}{3}\lt\frac{\pi}{2}$, therefore, it lies in quadrant I. (c) $-\frac{23\pi}{3}+3(2\pi)=-\frac{5\pi}{3}$ $-\frac{23\pi}{3}+4(2\pi)=\frac{\pi}{3}$
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