[SOLVED] Eliminating more trig parameters (sin & cos)

Ok so I thought I'd post this one now that I've been able to work through it a little farther because it didn't quite turn out how I expected graphically...

original problem:

Eliminate the parameter to find a Cartesian equation of the curve

My steps:

and

1)

2)

3)

4)

Solution)

is this correct? If so how do I graph this appropriately? Do I just graph the function I have for the solution or do I have to plug back in the trigonometric x value?

Thanks