How to eliminate parameter of parametric equations?

Question

If the parameter $t$ of $x$ and $y$ in a plane is given in the interval $(- ∞ , ∞)$ and if $x = t cos (t)$ and $y = t sin (t)$ How can one eliminate the parameter t and write a single equation using only $y$ and $x$?

Answer 1

Hint:

Do we know something about $\sin^2 \theta + \cos^2 \theta$?

And how can we obtain that from the parametric equations given?

EDIT(Response to Q in comments):

Dividing the equations will help you eliminate the resulting $t$ in the last step.