1. parametric equation

Show by eliminating the parameter $\theta$ that the following parametric equations represent a hyperbola:

$
x = a\tan\theta
$

$
y = b\sec\theta
$

Not really sure how to even start this problem. Any help would be appreciated!

2. Originally Posted by kevin11
Show by eliminating the parameter $\theta$ that the following parametric equations represent a hyperbola:

$
x = a\tan\theta
$

$
y = b\sec\theta
$

Not really sure how to even start this problem. Any help would be appreciated!
$x^2 = a^2\tan^2\theta$

$y^2 = b^2\sec^2\theta$

Use the identity $\sec^2\theta - tan^2\theta = 1$

Solve the problem.