t = var('t') polar_plot(2*sin(4*t), (t, 0, 2*pi))
plot(1+cos(t), (t, 0, 2*pi), polar=True, aspect_ratio=1) # alternative method
polar_plot(3 + (1/2)*sin(5*t), (t, 0, 2*pi))
polar_plot(5 + sin(4*t) + (1 + sin(1.02*t))/2 * (sin(5*t) - sin(4*t) + 7), (t, 0, 100*pi), plot_points = 2000)
