Finding Isomorphisms from D to R

[WannaBe22]

Homework Statement

I need to find isomorphisms from D to R in the next cases:

1. $$D=(z: 0<|z|<1) , R=(z:1<|z|<2)$$
2. $$D= (z: \frac{3 \pi}{4} <argz< \pi , |z|>2 ) , R= (z:Rez<0,0<Imz< \pi)$$
3. $$D=(z:0<Imz<2)-(z:z=x+i:x \leq -1) , R= (z: |z|<1 , Imz>0)$$.

Homework Equations

The Attempt at a Solution

I've no idea about these three cases...
Hope you'll be able to help me!

Tnx

 

[WannaBe22]

I don't know how to solve the latex problems...It should write it ok... I don't know what I did wrong