DLMF:22.16.E12 (Q7131)

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DLMF:22.16.E12
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    sn ( x , k ) = sin ϕ = sin ( am ( x , k ) ) , Jacobi-elliptic-sn 𝑥 𝑘 italic-ϕ Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{sn}\left(x,k\right)=\sin\phi=\sin% \left(\operatorname{am}\left(x,k\right)\right),}}
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    am ( x , k ) Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(\NVar{x},\NVar{k}\right)}}
    C22.S16.E1.m2ajdec
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    sn ( z , k ) Jacobi-elliptic-sn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
    C22.S2.E4.m2aadec
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    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2abdec
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