The following applet demonstrates the graph of a function in both polar and rectangular coordinates. In rectangular coordinates [math]t[/math] is the displacement (signed distance) from the [math]y[/math]-axis and [math]r(t)[/math] determines the height (distance from the [math]x[/math]-axis) of the graph. In polar coordinates: [math]r(t)[/math] is the distance from the origin (or pole) and [math]t[/math] is the direction (angle from positive [math]x[/math]-axis) [math]r(t)[/math] is "shot off" from. Think of polar coordinates as radar!

Updated 03.31.2014 - Works with new version of GeoGebra