Polar Equations

This exploration is for my high school tutorial students who have not yet been exposed to polar equations. This is a tour of some beautiful mathematical graphs. To my students, I'd like you to simply relax, listen to the music(make sure the sound is on on your computer) and enjoy the tour. At the end there is a link available for more information on polar equations. If you put your TI-83 into polar mode, you can explore Polars on your own.

Enjoy as we take a tour of polar graphs including the graphs of some equations in the form r = a + b cos k (theta) such as: r = (1+ cos( theta)), (1+ 2 cos (theta)), (1+.5cos( theta)), (1+2cos2(theta)), (1+2cos(8theta)), (4 + cos(8 theta)) ,(6+cos8(theta)), (1+ 1 cos (1 theta)) , (1 + 1 cos(3 theta)), (1 + 1 cos( 10 theta)), (1 + 1 cos (1000 theta) (1+cos (500) theta), (1 + cos (30)theta).