Parametric Curves: Solving and Sketching

[silicon_hobo]

Homework Statement

Identify and sketch the curve represented by the parametric equations:

x=1+cost
y=1+sin^2t

Homework Equations

The Attempt at a Solution

I have to isolate t in one of these equations and sub whatever t equals into the other equation right? So how do I get rid of the cos on the left here? I'm not so quick with this trig stuff :?

cost=x-1
Thanks.

 

[Dick]

cos(t)=x-1. Now just remember cos(t)^2+sin(t)^2=1.