$\sinh(x+iy)$ splits as $\sinh x\cos y+i\cosh x\sin y$.Suggest a slogan
For \(x,y\in\RR\), \[ \sinh (x+i y) =\sinh (x) \cos (y)+i \cosh (x) \sin (y). \]
What is the angle addition formula for $\sinh(x+iy)$?
$\sinh(x+iy)$ in terms of real and imaginary parts
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