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Thread: Parametric equation

  1. #1
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    Parametric equation

    Given a curve with the parametric equations $\displaystyle x=3sec^2\theta$ and $\displaystyle y=2tan\theta$, find the equation of the curve.

    $\displaystyle y=2tan\theta$
    $\displaystyle \theta=tan^{-1}\frac{y}{2}$

    $\displaystyle x=3sec^2\theta$
    $\displaystyle =3sec^2(tan^{-1}\frac{y}{2})$

    How do i combine them into 1 equation?
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  2. #2
    Senior Member BAdhi's Avatar
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    Remember,

    $\displaystyle \tan{^2x}=\sec{^2x}-1$
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