CK-12-Pre-Calculus Concepts

http://www.ck12.org Chapter 10. Polar and Parametric Equations

10.2 Polar Equations of Conics

Here you will find equations and graphs for various conics, including those whose major axis is at a slant.
Polar coordinates allow you to extend your knowledge of conics in a new context. Calculators are an excellent tool
for graphing polar conics. What settings do you need to know in order to properly use your calculator?

Watch This

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/62010

http://www.youtube.com/watch?v=ZFNSMfWvVNY James Sousa: Find the Rectangular and Polar Equation of a
Circle from a Graph

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/62012

http://www.youtube.com/watch?v=XkZAtV8jNb4 James Sousa: Find the Polar Equation for a Parabola

Guidance

Polar equations refer to the radiusras a function of the angleθ. There are a few typical polar equations you should
be able to recognize and graph directly from their polar form.
The following polar function is a circle of radiusa 2 passing through the origin with a center at angleβ.
r=a·cos(θ−β)