Exponential Functions In Complex Analysis

[calculuskatie]

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

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

Thanks...

 

[CompuChip]

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

 

[uocan]

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

 

[HallsofIvy]

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

I will point out that whether you say
e^{5\pi/4}= \frac{1- i}{-\sqrt{2}}[/itex]<br /> or<br /> e^{3pi/4}= \frac{1- i}{-\sqrt{2}}[/itex]&lt;br /&gt; 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!&lt;br /&gt; &lt;br /&gt; Is it at all possible that you &lt;b&gt;meant&lt;/b&gt; e^{5\pi i/4} and e^{3\pi i/4}?