DLMF:19.11#Ex10 (Q6290)

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DLMF:19.11#Ex10
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    Defining formula
    cos ⁡ ψ = ( cos ⁡ ( 2 ⁢ θ ) + k 2 ⁢ sin 4 ⁡ θ ) / ( 1 - k 2 ⁢ sin 4 ⁡ θ ) , 𝜓 2 𝜃 superscript 𝑘 2 4 𝜃 1 superscript 𝑘 2 4 𝜃 {\displaystyle{\displaystyle\cos\psi=(\cos\left(2\theta\right)+k^{2}{\sin^{4}}% \theta)/(1-k^{2}{\sin^{4}}\theta),}}
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    DLMF id
    DLMF:19.11#Ex10
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