Problem:

x = cos(t) + 2cos(2t)

y = sin(t) + 2sin(2t)

graph the curve to discover where it crosses itself and find both tangent lines at that point.

I understand how to find the tangents after I know the point I'm looking for, but I don't know how to relate the two equations to make the curve graphable. I could use Mathematica to help me graph it, but I won't have access to that on my exam. I'm not necessarily looking for someone to give me the answer, but pointing me in the right direction would be nice.