DLMF:4.21.E40 (Q1744)

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DLMF:4.21.E40
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    cot z = sin ( 2 x ) - i sinh ( 2 y ) cosh ( 2 y ) - cos ( 2 x ) . 𝑧 2 𝑥 imaginary-unit 2 𝑦 2 𝑦 2 𝑥 {\displaystyle{\displaystyle\cot z=\frac{\sin\left(2x\right)-\mathrm{i}\sinh% \left(2y\right)}{\cosh\left(2y\right)-\cos\left(2x\right)}.}}
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