Polar Limacons[br][math]r = a + b sin(\theta)[/math][br][math]r = a + b cos(\theta)[/math]

Adjust the slider for [i]a[/i] and [i]b[/i] as desired. The slider for [math]\theta[/math] adjusts the maximum value of [math]\theta[/math] to plot. In the Algebra View, choose any or all of the parametric curves c, d, e, and f to plot.