DLMF:4.32.E2 (Q1855)

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DLMF:4.32.E2
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    Statements

    Defining formula
    sin ⁡ x ⁢ cos ⁡ x < tanh ⁡ x < x , 𝑥 𝑥 𝑥 𝑥 {\displaystyle{\displaystyle\sin x\cos x<\tanh x<x,}}
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    DLMF id
    DLMF:4.32.E2
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    constraint
    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
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    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
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    hyperbolic tangent function
    Defining formula
    tanh ⁡ z 𝑧 {\displaystyle{\displaystyle\tanh\NVar{z}}}
    xml-id
    C4.S28.E4.m2adec
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    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
    0 references
    Q11218
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1adec
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