# Parametric equation

• Jun 13th 2011, 02:04 AM
Punch
Parametric equation
Given a curve with the parametric equations $x=3sec^2\theta$ and $y=2tan\theta$, find the equation of the curve.

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

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

How do i combine them into 1 equation?
• Jun 13th 2011, 02:16 AM
$\tan{^2x}=\sec{^2x}-1$