Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Exponential Functions In Complex Analysis

  1. Sep 22, 2008 #1
    Can someone please tell me if I have the correct answer for this one?

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

  2. jcsd
  3. Sep 22, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    You might want to check the sign of the imaginary part...
    Drawing a picture might help.
  4. Sep 22, 2008 #3
    I guess it should be e^(3pi/4)
  5. Sep 22, 2008 #4


    User Avatar
    Science Advisor

    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]
    [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 [itex]e^{5\pi i/4}[/itex] and [itex]e^{3\pi i/4}[/itex]?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook