- #1
wany
- 72
- 0
Homework Statement
solve [tex]e^z=1[/tex]
Homework Equations
[tex]e^z=e^xe^{iy}[/tex]
The Attempt at a Solution
So let [tex]1=r cis \theta[/tex]
so then
[tex]e^x=r[/tex]
[tex]e^{iy}=cis \theta[/tex]
Then this happens when [tex]y=2k\pi i[/tex] for k=...,-1,0,1,...
Then x=log(r).
I know I am missing something.