Precalculus (6th Edition) Blitzer

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 - Concept and Vocabulary Check - Page 753: 6

Answer

True

Work Step by Step

If a polar equation passes a symmetry test, then that symmetry is exhibited by its graph. By contrast, if a polar equation fails a symmetry test, then its graph may or may not have that kind of symmetry. Therefore, the graph of a polar equation may have a symmetry even if it fails a test for that particular symmetry. Nevertheless, the symmetry tests are useful. If we detect symmetry, we can obtain a graph of the equation by plotting fewer points.
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