DLMF:4.21.E27 (Q1729)

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DLMF:4.21.E27
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    Statements

    Defining formula
    sin ⁡ ( 2 ⁢ z ) = 2 ⁢ sin ⁡ z ⁢ cos ⁡ z = 2 ⁢ tan ⁡ z 1 + tan 2 ⁡ z , 2 𝑧 2 𝑧 𝑧 2 𝑧 1 2 𝑧 {\displaystyle{\displaystyle\sin\left(2z\right)=2\sin z\cos z=\frac{2\tan z}{1% +{\tan^{2}}z},}}
    0 references
    DLMF id
    DLMF:4.21.E27
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2ardec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aqdec
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    tangent function
    Defining formula
    tan ⁡ z 𝑧 {\displaystyle{\displaystyle\tan\NVar{z}}}
    xml-id
    C4.S14.E4.m2aedec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1idec
    0 references
     
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