I have a curve given by this equation: $$c(t) = (t\cos t,t \sin t,t)$$
I need to prove that this curve lies on a cone, and draw that cone and curve in Sage.
I've read somewhere that I could prove it by taking some random point and then put it into equation. But is there a more general proof, formal way of proving it lies on a cone?
How should I prove it (the easiest way?)