Complex analysis and complex plane

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[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) ?

I like Serena

Welcome to PF, tsopatsopa!

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

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tsopatsopa	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[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 Thumbnails

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