Plotting Functions on Polar Graphs
Just like you can plot functions on regular graph paper, you can plot functions on polar graph paper. The function \(y = Ax\) is a straight line on rectangular graph paper; \(r = A\theta\) is a spiral on polar graph paper. There is no reason we need to limit \(\theta\) to the range [0, 360°]; angles go on forever, they just keep going around the polar plot. They can also be negative. Unless otherwise specified, \(0 \le \theta \le 360^\circ\).
You can get some amazingly pretty results when you experiment with sin and cos functions!
Polar Plotting with TI-83/84 Calculators