The latest SW has 2D equation-driven curves. There are limitations, I think it can only do curves where y=F(x). It can not do curves where x&y = F(t), which is what I think you need for cycloids.

Pro/E would be perfectly suited for this.

I have generated true involutes using trace paths in COSMOS/Motion. Perhaps you could do something similar.

With any solution using SW sketches or curve-thru-points, pay close attention to the curvature of your resultant curve. If you trace a spline through a set of points, the ends may have errant curvature that will muck up the whole spline.