## Complex analysis and complex plane

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$\ast$coshy
v= cosx$\ast$sinhy

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

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 Recognitions: Homework Help Welcome to PF, tsopatsopa! Pick a couple of points on the trajectory and plug the numbers into your function?

 Tags complex analysis, function, trajectory

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