DLMF:4.21.E32 (Q1734): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1ndec

Latest revision as of 18:27, 1 January 2020

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DLMF:4.21.E32
No description defined

    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
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2audec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2atdec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1ndec
    0 references
     
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