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

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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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Updated on August 01, 2022

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  • user106039
    user106039 about 21 hours

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

    So I know the parameter that must be eliminated is θ. How should I do this? Are there trig identities that I can use?