DLMF:4.45.E8 (Q2014)

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DLMF:4.45.E8
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    Statements

    Defining formula
    2 ⁢ arctan ⁡ x 1 + ( 1 + x 2 ) 1 / 2 = arctan ⁡ x , 2 𝑥 1 superscript 1 superscript 𝑥 2 1 2 𝑥 {\displaystyle{\displaystyle 2\operatorname{arctan}\frac{x}{1+(1+x^{2})^{1/2}}% =\operatorname{arctan}x,}}
    0 references
    DLMF id
    DLMF:4.45.E8
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    constraint
    0 < x < ∞ 0 𝑥 {\displaystyle{\displaystyle 0<x<\infty}}
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    Symbols used
    Q10816
    Defining formula
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7adec
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    Q11218
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1fdec
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