DLMF:4.23.E18 (Q1770)

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DLMF:4.23.E18
No description defined

    Statements

    Defining formula
    arccot ⁡ z = ± 1 2 ⁢ π - arctan ⁡ z , 𝑧 plus-or-minus 1 2 𝜋 𝑧 {\displaystyle{\displaystyle\operatorname{arccot}z=\pm\tfrac{1}{2}\pi-% \operatorname{arctan}z,}}
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    DLMF id
    DLMF:4.23.E18
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    constraint
    ℜ ⁡ z ≷ 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Re z\gtrless 0}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
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    arccotangent function
    Defining formula
    arccot ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arccot}\NVar{z}}}
    xml-id
    C4.S23.E9.m2acdec
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    Q10816
    Defining formula
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7acdec
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    Q10811
    Defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1adec
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    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1rdec
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