Polar coordinates FP2

When doing b), I plotted from 0 to 2pi, with a gap of pi/4 between each theta value but this unnecessarily prolonged my working out. I could have just used a gap of pi/2 between each theta value but I did not discover this until afterwards.

When given a question like b) or c), how do you determine the range of the theta values (and the gap between each) prior to plotting points?

Look for values of theta that make r=0 which will identify loops and values that make r a maximum.

Ooh thanks. Good idea.

Look for values of theta that make r=0 which will identify loops and values that make r a maximum.

Sorry for the late reply. That is a very useful tip! Btw, what are the dotted lines and how do you know which of the theta values you obtain are dotted lines?