Answer
False.
Work Step by Step
The tests for symmetry are sufficient but not necessary, hence the statement is false.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 9 - Polar Coordinates; Vectors - 9.2 Polar Equations and Graphs - 9.2 Assess Your Understanding - Page 585: 8
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