So, just now I was doing computing some parametric equations and graphing them when I came across a weird problem. I attempted to search for a solution, but I don't think I was able to describe what I meant well enough to get any useful results.
$x=t\cos(\theta) $ and $y = t \sin(\theta)$, $t>0$ over the interval $[0,\pi]$
I was able to eliminate the parameter to get $ y = x \tan(\theta)$. The problem I am having is what do I do with the $\theta$?
All help is greatly appreciated.
HINT
$\theta$ is a parameter. We have equation $$x=0$$ when $\cos\theta=0$ and $$y=x\tan\theta$$ when $\cos\theta\not=0.$