Problem:
Find the equation of the tangent line to the curve given by the parametric equations

x = cos(2 t)
y = sin(3 t)

at various points.

Visualization:
The following LiveMath notebook shows the steps you would follow in doing this problem. It is possible for you to change the value of t. After you change the value of t, then you may need to click with the mouse on the graph a couple of times to get the correct graph of the tangent line.