Circles, Ellipses, and Lissajous Curves

Here are some simple examples of parametric curves. All curves have the form

x(t)=r(cos(at))
y(t)=s(sin(bt))

for constants a, b, r, s.

Drag the slider T to change the input and what the curve be drawn. Drag the slider "Example" to change to a different example.

Jamie Mulholland
Department of Mathematics
Simon Fraser University
Created with GeoGebra