Families of Polar Curves: Roses - Concept

Concept Concept (1)

One family of polar curves that we will see frequently when dealing with graphing polar equations and polar symmetry is the polar rose. It is important to be able to recognize the general equation of a polar rose, and to use that equation to interpret the symmetry and number of petals. The general equation of a polar rose is similar to that of the family of circles and cardioids.

Sample Sample Problems (3)

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Families of Polar Curves: Roses - Problem 1
Problem 1
How to graph members of the polar family r = a sin(b*theta) when b is odd.
Families of Polar Curves: Roses - Problem 2
Problem 2
How to graph members of the polar family r = a sin(b*theta) when b is even.
Families of Polar Curves: Roses - Problem 3
Problem 3
How to describe the graph of a rotated rose, r = a sin(b*(theta + h)).