# How do you eliminate the parameter to find a cartesian equation of the curve?

6,864

Yes, you can use $\cos^2\theta+\sin^2\theta=1$.

First, represent $\cos\theta,\sin\theta$ by $x,y$ respectively. Then, use $\cos^2\theta+\sin^2\theta=1$ to eliminate $\theta$.

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### user106039

Updated on August 01, 2022

$$x=1/2cosθ$$ $$y=2sinθ$$ $$0 \le θ \le π$$