Convert line parametrization into two equations

Question

Consider the following parametrization on $\mathbb{R}^3$

$$g(t) = (t^2,t\cos(t),t\sin(t))$$

This is a line, and as such can be characterized by two equations. I already found the first one to be

$$y^2 + z^2 = x$$

What would the second equation be?

Answer 1

$$ \frac{z}{y}=\tan t=\tan(\sqrt x). $$