Problem:
Draw the graph of the parametric equations

x = sin2(t)
y = cos(t)

for values of t between 0 and 4p.


Visualization:
Use the following LiveMath Notebook to explore the graph of these equations. Click on the graph to start the animation. The red dot indicates the point (x(t), y(t)) for various values of t which are indicated at the upper right-hand corner of the notebook. You can slow down or speed up the animation by clicking on the box containing the phrase '6 frames/second'. In addition, you can change the values of the constants in the equations and see the effect on the graph.