Trigonometry (10th Edition)

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

Chapter 8 - Review Exercises - Page 405: 66

Answer

B. symmetry with respect to the y-axis

Work Step by Step

Whenever $(r, \theta)$ is on the graph, so is $(r, \pi -\theta)$. $x = r~cos~\theta = -r~cos(\pi-\theta)$ $y = r~sin~\theta = r~sin(\pi-\theta)$ Therefore, whenever $(x,y)$ is on the graph, so is $(-x,y)$. Then the graph will have symmetry with respect to the y-axis.
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