Precalculus (6th Edition) Blitzer

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

Chapter 6 - Review Exercises - Page 798: 29

Answer

See plot. a. $(2,\frac{8\pi}{3})$ b. $(-2,\frac{5\pi}{3})$ c. $(2,-\frac{4\pi}{3})$
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Work Step by Step

We can plot the point by moving to angle $\theta=\frac{2\pi}{3}$ counterclockwise, and then to $r=2$ as shown in the figure. a. We can find another representation for the same point using the given range as $(2,\frac{8\pi}{3})$ b. We can find another representation for the same point using the given range as $(-2,\frac{5\pi}{3})$ c. We can find another representation for the same point using the given range as $(2,-\frac{4\pi}{3})$
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