DLMF:4.35.E36 (Q1910)

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DLMF:4.35.E36
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    tanh z = sinh ( 2 x ) + i sin ( 2 y ) cosh ( 2 x ) + cos ( 2 y ) , 𝑧 2 𝑥 𝑖 2 𝑦 2 𝑥 2 𝑦 {\displaystyle{\displaystyle\tanh z=\frac{\sinh\left(2x\right)+i\sin\left(2y% \right)}{\cosh\left(2x\right)+\cos\left(2y\right)},}}
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