Precalculus (6th Edition) Blitzer

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

Chapter 6 - Mid-Chapter Check Point - Page 756: 16

Answer

See plot. a. $(4,\frac{11\pi}{4})$ b. $(-4,\frac{7\pi}{4})$ c. $(4,-\frac{5\pi}{4})$

Work Step by Step

We can plot the point by moving to angle $\theta=\frac{3\pi}{4}$ counterclockwise, and then to $r=4$ as shown in the figure. a. We can find another representation for the same point using the given range as $(4,\frac{11\pi}{4})$ b. We can find another representation for the same point using the given range as $(-4,\frac{7\pi}{4})$ c. We can find another representation for the same point using the given range as $(4,-\frac{5\pi}{4})$
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