Graphs of family of functions r = 1-cos(a*theta)

as a varies from 0 to 8.

a = 0	a = 0.5
a = 1.0	a = 1.5
a = 2.0	a = 2.5
a = 3.0	a = 3.5
a = 4.0	a = 4.5
a = 5.0	a = 5.5
a = 6.0	a = 6.5
a = 7.0	a = 7.5
a = 8.0

 

See a QuickTime movie of what happens to the cardiod as a varies from 0 to 10.