I'm trying to find the solution set of {x,y} variables for the following system of equations:

Solve[{0 == -1/2*Tan[Pi*x/2] + y, 0 == -1/2*Tan[Pi*y/2] + x}, {x,y}]

But when I try this I can't get a result. Is there another function I should use? I can get the "basic" solutions by hand noting that if x = 0 then y = 2*n where n is an integer (and vise versa for when y = 0). But I think there are other solutions...

Any help would be appreciated, thanks!

I'm using Mathematica 8, btw.

I'm trying to find the solution set of {x, y} variables for the following system of equations:

Solve[{0 == -1/2*Tan[Pi*x/2] + y, 0 == -1/2*Tan[Pi*y/2] + x}, {x, y}]

But when I try this, I can't get a result. Is there another function I should use? I can get the "basic" solutions by hand noting that if $x = 0$, then $y = 2n$ where $n$ is an integer (and vice-versa for when $y = 0$). But I think there are other solutions...

Any help would be appreciated, thanks!

I'm using Mathematica 8, BTW.