Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 8 - Review Exercises - Page 405: 63

Answer

B. symmetry with respect to the y-axis

Work Step by Step

Whenever $(r, \theta)$ is on the graph, so is $(-r, -\theta)$. $(-r, -\theta) = (r, 180^{\circ}-\theta)$ Therefore, whenever $(r, \theta)$ is on the graph, so is $(r, 180^{\circ}-\theta)$. Then the graph will have symmetry with respect to the y-axis.
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