Parametric equations help!

[Ilovemathsmeth]

I saw this question today:

r(t) = 3(e^(2t) + e^(-2t))i + 2(e^(-2t) - e^(2t))j. I haven't got any idea how to find its cartesian equation though I did try using the fact that e^(itheta) + e^i(-theta) = 2 cos theta and that got me somewhere, but I'm not sure if it's the right method seeing there's no i in the original equation.

Help is hugely appreciated!

[/0]

Try adding and subtracting equations (then finally, multiplying the new equations)

If you're interested look up hyperbolic trig functions, which are built around these sorts of expressions

[Ilovemathsmeth]

Awesome, thanks