- #1
ironman2
- 10
- 0
Homework Statement
D* = {(u,v) | u>0, v>0, u + v < pi/2} and D = {(x,y) | 0<x<1, 0<y<1}
The map T : R2 -> R2 is given by (x,y) = T(u,v) = (sin u/cos v, sin v/cos u).
To prove that T is a bijection
Homework Equations
andThe Attempt at a Solution
I'm kinda stuck finding the limits for u and v and get the region for D*. Once I can nail down the region for D* I can break into different paths and get the solution. I've done squares to squares and stuff before, but can't get my head around the triangular region for D*.
Any ideas guys?