Thread: Help with proving Complex variable equations

Hello, Could someone please Help with proving the Complex variable equation

(a) If E R. show that Im . where n E Z

and if [TEX]e^z E i . R. then what is z =?

Also, if someone knows of any book online or a resource that would help me with Basic Trancendental Functions chapter in complex variables, it will be GREATLY appreciated. The book that we have is completely useless

Originally Posted by flametag2

Hello, Could someone please Help with proving the Complex variable equation

(a) If E R. show that Im . where n E Z

and if [TEX]e^z E i . R[COLOR=#444444][FONT=verdana]. then what is z =?

You can use LaTeX code to make it more readable.
[tex]e^{z}=e^{x}(\cos(y)+i\sin(y)[/tex] gives .

You can see that is real only if where .

I cannot read the second part of the question.