# Complex analysis and complex plane

## Homework Statement

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) ?

#### Attachments

• photo_math.JPG
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