Families of Polar Curves: Conic Sections - Concept

Concept Concept (1)

One can use polar coordinates to describe polar conic sections, or conic sections with one focus at the origin of the polar coordinate system. Polar conic sections are described by a family of polar equations, and can be graphed using methods of graphing polar equations. Polar conic sections use similar methods for graphing as the rose or the cardioid.

Sample Sample Problems (3)

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Families of Polar Curves: Conic Sections - Problem 1
Problem 1
How to graph the polar curve r = 6/(1 + e cos*theta) when -1 < e < 1.
Families of Polar Curves: Conic Sections - Problem 2
Problem 2
How to graph the polar curve r = 6/(1 + e cos*theta) when e >1 or < -1.
Families of Polar Curves: Conic Sections - Problem 3
Problem 3
How to describe the graph of a rotated conic r = 6/(1 + e cos(theta + h)