# Inverse Jacobi elliptic arcdn(x,k) Calculator

## Calculates the Inverse Jacobi elliptic arcdn(x,k).

 x √(1-k2)≦x≦1 k 0≦k≦1
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Inverse\ Jacobi\ elliptic\ function\ arcdn(x,k)\\[10](1)\ x=dn(u,k)\hspace{5}\rightarrow\hspace{5} u=arcdn(x,k)\equiv dn^{\tiny -1}(x,k)\\[10](2)\ arcdn(x,k)=F(\sqrt{1-x^2}/k,k)\ ,\hspace{20} \sqrt{1-k^2}\le x\le1\\\hspace{20}F(x,k)={\large\int_{\small 0}^{\hspace{25}\small x}\frac{dt}{\sqrt{(1-t^2)(1-k^2t^2)}}}\ ,\hspace{20} -1\le x\le1\\(3)\ k^2sn^2(u,k)+dn^2(u,k)=1\\$

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