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tamtam402
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Homework Statement
Prove sin(x-iy) = sin(x) cosh(y) - i cos(x) sinh(y)
Homework Equations
The Attempt at a Solution
I tried to prove it by developing sinh into it's exponential form, but I get stuck.
sinh(x-iy) = [ ei(x-iy) - e-i(x-iy) ] /2i
= [ eixey - e-ix e-y ] /2i
This is where I get stuck. I can regroup the terms to get the following equation, but doesn't seem like the right direction.
= sinh(y+ix)/i