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Elliptic Functions sn, cn, dn (Graph)

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Calculate and graph the tables for the elliptic functions sn(u,k), cn(u,k), and dn(u,k).
k 
-1≦k≦1
[ Initial value of u
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\(\normalsize Jacobi\ elliptic\ functions\\ \hspace{120px} sn(u,k),\ cn(u,k),\ dn(u,k)\\ (1)\ sn(u,k)= \sin(am(u,k))\\ (2)\ am(u,k)=\phi=F^{-1}(u,k)\\ \hspace{25px}u=F(\phi,k)={\large\int_{\small 0}^{\phi}\frac{d\theta}{\sqrt{1-k^2 \sin^2\theta}}}\\ (3)\ cn(u,k)=\sqrt{1-sn^2(u,k)}\\ \hspace{25px}dn(u,k)=\sqrt{1-k^2sn^2(u,k)}\\ (4)\ sn^2(u,k)+cn^2(u,k)=1\\ \hspace{25px}k^2sn^2(u,k)+dn^2(u,k)=1\\\)

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