(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show: sinh(z + i2(pi)) = sinh(z) using sinh(z) = (e^{z}- e^{-z})/2

2. Relevant equations

3. The attempt at a solution

So far I have (e^{x + i(2∏+y)}- e^{-(x+i(2∏+y)})/2.

Need help proceeding from here. My thoughts were to define a z' = x + i(2∏+y) but I don't think that I can then say that it is equal to sinh(z) but rather sinh(z').

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# Complex Hyperbolic Property

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