Parametric curve plot

Hello!

I wonder if there is any way of plotting parametric curves where the parameter can't be  expressed in terms of variables ("x" and "y").

Example 1: Parametric curve x=t^3 - 4t,  y=t^2 can be plotted by using this equation x=sqrt(y)*(y-4). File attached.

Example 2: Parmetric curve x=t^2 * sin(t), y=t^2 * cos(t) - "t" can't be expressed easily in terms of "x" and "y".

(or is it correct to write t=asin(x) * (asin(x))^2 ?)

Best,

Sergey