AS/A2 Pure 5 Pure 6

P4 Topic 7: Polar Coordinates
r = cos at
Investigate polar curves with equations of the form:
r = cos at or r = sin at
for various values of the constant a. Pay close attention to the number of loops.

Summary If a is odd then there are a loops; if a is even there are 2a loops. Based on free Java applets from JavaMath