1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Complex analysis and complex plane

  1. Jun 25, 2011 #1
    1. The problem statement, all variables and given/known data
    Let z= x + yi be a complex number.
    and f(z) = u + vi a complex function.
    u = sinx[itex]\ast[/itex]coshy
    v= cosx[itex]\ast[/itex]sinhy

    And if z has a trajectory shown in the attached image.
    What would be the trajectory of the point (u,v) ?

    Attached Files:

  2. jcsd
  3. Jun 26, 2011 #2

    I like Serena

    User Avatar
    Homework Helper

    Welcome to PF, tsopatsopa! :smile:

    Pick a couple of points on the trajectory and plug the numbers into your function?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Complex analysis complex Date
Simplification of a complex exponential Dec 10, 2017
Complex Proof Dec 1, 2017
Shading in Argand diagrams involving inequalities May 16, 2016
How to represent this complex number? Mar 13, 2016
Converting 1/(1-z) to a sum Dec 17, 2015