Parametric Equations of x^2-y^2=1

[lemurs]

given x^2-y^2=1 find the parametric equation...

i have no clue where to start... it looks like a cirlce equation but i know that not right so what the hell?

 

[Hootenanny]

What you have there is the equation for a hyperbola, I'm guesing you haven't met hyperbolas before?

 

[Office_Shredder]

Do you know what hyperbolic sine and cosine are?

 

[HallsofIvy]

One point: there is no such thing as the parametric equations for a curve. A single curve can have expression in many different parametric equations. As Office Shreder said, do you know hyperbolic sine and cosine? They have the nice property that cosh²x- sinh²x= 1