DLMF:4.21.E41 (Q1745)

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DLMF:4.21.E41
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    | sin z | = ( sin 2 x + sinh 2 y ) 1 / 2 = ( 1 2 ( cosh ( 2 y ) - cos ( 2 x ) ) ) 1 / 2 , 𝑧 superscript 2 𝑥 2 𝑦 1 2 superscript 1 2 2 𝑦 2 𝑥 1 2 {\displaystyle{\displaystyle|\sin z|=({\sin^{2}}x+{\sinh^{2}}y)^{1/2}=\left(% \tfrac{1}{2}\left(\cosh\left(2y\right)-\cos\left(2x\right)\right)\right)^{1/2}% ,}}
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    DLMF:4.21.E41
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