Hi all. I'm working on a project for my Pre-calc II class that involves finding the parametric equations for 12 graphs. I'm very stuck on this one:

The method given to us to solve them is to make 2 graphs, one of x and t, the other of y and t. The equations of those graphs are the solution.

A more detailed explanation is here: Parametric Doodling

My problem i'm running into is finding equations of the complex sine and cosine waves. I understand all the basic transformations, but when multiplying sine and cosine waves I get very lost.