Thread: Hyperbolic functions

Let z=x+iy. Verify that |sinhz|^2 = (sinhx)^2 + (siny)^2 and |coshz|^2 = (sinhx)^2 + (cosy)^2.

Any suggestions?

Originally Posted by paperclip

Let z=x+iy. Verify that |sinhz|^2 = (sinhx)^2 + (siny)^2 and |coshz|^2 = (sinhx)^2 + (cosy)^2.

Any suggestions?

This is plug and chug. . Go from there and remember that