The symmetry of the polar equation
Answer to Problem 9CT
Solution:
The polar equation
Explanation of Solution
Given information:
The polar equation is
Use the test of symmetry with respect to polar axis, pole and line
Polar axis: Replace
Using
The resulting equation is not same as original, so the graph may or may not be symmetric with respect to polar axis.
The line
The resulting equation is same as original, so the graph is symmetric with respect to line
Pole: Replace
The resulting equation is not same as original, so the graph may or may not be symmetric with respect to respect to pole.
Therefore, the polar equation
Chapter 9 Solutions
Precalculus Enhanced with Graphing Utilities
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