Ok here's the problem:

F: R^2 -> R^2

(t is theta)

F(r,t) = (r*cos(t), r*sin(t))

What is F^-1(0,0)?

I know the answer is {(0,0) | -inf < t < inf }

but I'm not exactly sure how to get to that point.

Printable View

- Apr 21st 2008, 05:51 PMmerzbowInverse of a Multiple Variable Function
Ok here's the problem:

F: R^2 -> R^2

(t is theta)

F(r,t) = (r*cos(t), r*sin(t))

What is F^-1(0,0)?

I know the answer is {(0,0) | -inf < t < inf }

but I'm not exactly sure how to get to that point. - Apr 21st 2008, 06:12 PMTheEmptySet
- Apr 21st 2008, 06:18 PMmerzbow
Ah, thanks man. I knew it was something easy, I just couldn't figure it out.