DLMF:4.21.E28 (Q1730)

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DLMF:4.21.E28
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    Defining formula
    cos ⁡ ( 2 ⁢ z ) = 2 ⁢ cos 2 ⁡ z - 1 = 1 - 2 ⁢ sin 2 ⁡ z = cos 2 ⁡ z - sin 2 ⁡ z = 1 - tan 2 ⁡ z 1 + tan 2 ⁡ z , 2 𝑧 2 2 𝑧 1 1 2 2 𝑧 2 𝑧 2 𝑧 1 2 𝑧 1 2 𝑧 {\displaystyle{\displaystyle\cos\left(2z\right)=2{\cos^{2}}z-1=1-2{\sin^{2}}z=% {\cos^{2}}z-{\sin^{2}}z=\frac{1-{\tan^{2}}z}{1+{\tan^{2}}z},}}
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    DLMF id
    DLMF:4.21.E28
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