Parametric Equation for a Curve with Cosine and Sine Functions

[stau40]

Homework Statement

Find an equation y=f(x) for the parametric curve x = cos (theta) y = cos (theta) + sin^(2) (theta)

Homework Equations

The Attempt at a Solution

I know I need to solve for theta but I'm not sure how to go about this. Can I plug x into the theta's in y or do I use the trig identity sin^(2) + cos^(2) = 1? Thanks in advance!

 

[gabbagabbahey]

Use the fact that $\cos\theta=x$ and $\sin^2\theta=1-\cos^2\theta$.