Precalculus (6th Edition) Blitzer

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

Chapter 6 - Section 6.3 - Polar Coordinates - Concept and Vocabulary Check - Page 741: 4



Work Step by Step

To plot the point $(r, \theta )=(-4, 135^{\circ })$, begin with the $135^{\circ }$ angle. Because $135^{\circ }$ is a positive angle, draw $\theta = 135^{\circ }$ counterclockwise from the polar axis. Now consider $r=-4$. Because $r \lt 0$, plot the point by going out four units along the ray opposite the terminal side of $\theta$. So, looking at the graph, we see that the point lies in the quadrant IV.
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