SOLUTION: Eliminate the parameter: x= 7sint + sin7t y= 7cost + cos7t

The best way to not have a parameter at all is to
go to polar coordinates with r2=x2+y2
and t=q

Squaring everything: 



Adding those equations:



Using well-known trig identities:





We switch to polar coordinates with r2=x2+y2
and t=q



The graph looks like this:

 

Edwin