DLMF:4.21.E32 (Q1734)

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DLMF:4.21.E32
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    Statements

    Defining formula
    sin ⁡ ( 4 ⁢ z ) = 8 ⁢ cos 3 ⁡ z ⁢ sin ⁡ z - 4 ⁢ cos ⁡ z ⁢ sin ⁡ z , 4 𝑧 8 3 𝑧 𝑧 4 𝑧 𝑧 {\displaystyle{\displaystyle\sin\left(4z\right)=8{\cos^{3}}z\sin z-4\cos z\sin z% ,}}
    0 references
    DLMF id
    DLMF:4.21.E32
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    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2audec
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    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2atdec
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    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1ndec
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