Complex analysis and complex plane

1. Jun 25, 2011

tsopatsopa

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) ?

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2. Jun 26, 2011

I like Serena

Welcome to PF, tsopatsopa!

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