Question

Eliminate $\theta$ from the following equation:$x=a\sec \theta ,y=b\tan \theta$

Answer 1

given

$x=a\sec \left(\theta \right),y=b\tan \left(\theta \right)$

we know that

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

substituting those from above we get

$(\frac{x}{a}{)}^2-(\frac{y}{b}{)}^2=1$