# Exponential Functions In Complex Analysis

1. Sep 22, 2008

### calculuskatie

Can someone please tell me if I have the correct answer for this one?

e^(5pi/4) = (1-i)/(-sqrt(2))

Thanks...

2. Sep 22, 2008

### CompuChip

You might want to check the sign of the imaginary part...
Drawing a picture might help.

3. Sep 22, 2008

### uocan

I guess it should be e^(3pi/4)

4. Sep 22, 2008

### HallsofIvy

Staff Emeritus
Stop guessing! Show us how you arrived at either of those answer, please.

I will point out that whether you say
[tex]e^{5\pi/4}= \frac{1- i}{-\sqrt{2}}[/itex]
or
[tex]e^{3pi/4}= \frac{1- i}{-\sqrt{2}}[/itex]
You run into the rather sizeable difficulty that the number on the left of the equal sign is real while the number on the right is not!

Is it at all possible that you meant $e^{5\pi i/4}$ and $e^{3\pi i/4}$?