Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Mid-Chapter Check Point - Page 577: 6

Answer

a. $\frac{5\pi}{4}$. b. See figure. c. $\frac{\pi}{4}$
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Work Step by Step

a. Given the angle $-\frac{19\pi}{4}=-\frac{24\pi-5\pi}{4}=-6\pi+\frac{5\pi}{4}$, we see that the positive angle that is less than $ 2\pi$ and is co-terminal with the given angle is $\frac{5\pi}{4}$. b. See figure. c. The reference angle can be found as $\frac{5\pi}{4}-\pi=\frac{\pi}{4}$ (angle with respect to the x-axis)
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