Symmetry of Polar Graphs - Concept

Concept Concept (1)

There are many polar curves that are symmetric. The symmetry of polar graphs about the x-axis can be determined using certain methods. Knowing the polar graph symmetry can help us calculate the area inside a polar curve. Some curves that can have symmetry of polar graphs are circles, cardioids and limacon, and roses and conic sections.

Sample Sample Problems (3)

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Symmetry of Polar Graphs - Problem 1
Problem 1
How to determine if the graph of a polar equation is symmetric about the y-axis.
Symmetry of Polar Graphs - Problem 2
Problem 2
How to determine if the graph of a polar equation is symmetric about the y-axis when the first test of symmetry doesn't work.
Symmetry of Polar Graphs - Problem 3
Problem 3
How to test a polar equation for symmetry about the x- or y-axis.