DLMF:19.11#Ex3 (Q6275)

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DLMF:19.11#Ex3
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    Defining formula
    cos ⁡ ψ = cos ⁡ θ ⁢ cos ⁡ ϕ - ( sin ⁡ θ ⁢ sin ⁡ ϕ ) ⁢ Δ ⁢ ( θ ) ⁢ Δ ⁢ ( ϕ ) 1 - k 2 ⁢ sin 2 ⁡ θ ⁢ sin 2 ⁡ ϕ , 𝜓 𝜃 italic-ϕ 𝜃 italic-ϕ Δ 𝜃 Δ italic-ϕ 1 superscript 𝑘 2 2 𝜃 2 italic-ϕ {\displaystyle{\displaystyle\cos\psi=\frac{\cos\theta\cos\phi-(\sin\theta\sin% \phi)\Delta(\theta)\Delta(\phi)}{1-k^{2}{\sin^{2}}\theta{\sin^{2}}\phi},}}
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    DLMF id
    DLMF:19.11#Ex3
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