Prove sinh(z) Identity: Show |sinh(z)|^2 = sin^2x + sinh^2y

[ognik]

Show $ |sinh(z)|^2 = sin^2x + sinh^2y $
Since I posted this, I found new info - cos(iy) = cosh(y) and sin(iy) = i sinh(y) which made the above easy; don't want to bother anyone so will mark this solved.

 

[I like Serena]

Show $ |sinh(z)|^2 = sin^2x + sinh^2y $
Since I posted this, I found new info - cos(iy) = cosh(y) and sin(iy) = i sinh(y) which made the above easy; don't want to bother anyone so will mark this solved.

Hey ognik,

Just for the record, it appears there is a typo in there.
It should be for instance
$$ |\sinh(z)|^2 = \sinh^2x + \sin^2y $$
otherwise it's not true.