Complex analysis and complex plane

  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.
    As:
    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. I like Serena

    I like Serena 6,192
    Homework Helper

    Welcome to PF, tsopatsopa! :smile:

    Pick a couple of points on the trajectory and plug the numbers into your function?
     
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