# Analyzing Parametric Equations

I saw a tweet that sumidiot posted on the parametric equations $x(t)=t+c*\sin(2t)$ and $y(t)=\cos(t)$ and spent a good 30 minutes thinking about the value of $c$ which makes the graph intersect itself exactly once. I was going to post about my solution, but I was beaten to the punch. And thank goodness, because there are graphs and everything on sumidiot’s solution, which you should read here.

I still haven’t fully evaluated twitter, which I will post about later once I come to some solid conclusions. But I’m leaning towards liking it. I’ve got lots of good links, anyway. If you want to be my twitter friend, I’m here!