Answer
See explanations.
Work Step by Step
To test for symmetry with respect to the line $\theta=\frac{\pi}{2}$ in which $r$ is not replaced, we can replace $\theta$ with $\pi - \theta$ and see if the equation remains the same.
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 6 - Section 6.4 - Graphs of Polar Equations - Exercise Set - Page 755: 95
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