I was wondering how can one draw a graph (at least schematic) from given parametric equation, For example I took $$x=a\cos^3(t)\qquad \text{and}\qquad y=a\sin^3(t).$$ Initially I tried to find solution of $x=y$.
And then where it get zero, but I was unable to plot it.
How shall I do it?
Note that $x^{2/3}+y^{2/3}=a^{2/3}$. I've used the Pythagorean identity $\cos^2 t+\sin^2 t=1$ to get rid of $t$. The curve is called an astroid. You can find more information here.