1. ## 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?

2. Remember,

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