Converting Parametric Equation to Cartesian Equatio

[FlyingJT]

The question asks to "Find the Cartesian equation of the curve"

x=1/2(t^2+1/t^2) y=1/2(t^2-1/t^2)

So far, I've eliminated t but now I am stuck.

x+y= t^2

x=1/2[(x+y)+(1/x+y)]

Where do I go from here?

 

[Deleted member 4993]

The question asks to "Find the Cartesian equation of the curve"

x=1/2(t^2+1/t^2) y=1/2(t^2-1/t^2)

So far, I've eliminated t but now I am stuck.

x+y= t^2

x=1/2[(x+y)+1/(x+y)]

Where do I go from here?

In my opinion, you need not do anything else - other than fix the grouping symbol as indicated.

However, the equation above can be further simplified (but you have not been asked to do so according to your post). Upon simplification you'll see that it is an equation of a hyperbola.

This question was also asked at:

http://www.freemathhelp.com/forum/threads/94529-Converting-Parametric-Equations-into-Cartesian-Equations