DLMF:4.23.E32 (Q1784)

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DLMF:4.23.E32
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    Statements

    Defining formula
    w = Arccos ⁡ z = ± arccos ⁡ z + 2 ⁢ k ⁢ π , 𝑤 multivalued-inverse-cosine 𝑧 plus-or-minus 𝑧 2 𝑘 𝜋 {\displaystyle{\displaystyle w=\operatorname{Arccos}z=\pm\operatorname{arccos}% z+2k\pi,}}
    0 references
    DLMF id
    DLMF:4.23.E32
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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.m2akdec
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    Q11208
    Defining formula
    arccos ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m6ahdec
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    general arccosine function
    Defining formula
    Arccos ⁡ z multivalued-inverse-cosine 𝑧 {\displaystyle{\displaystyle\operatorname{Arccos}\NVar{z}}}
    xml-id
    C4.S23.E2.m2abdec
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    Q11219
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C4.S1.XMD1.m1adec
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    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1aadec
    0 references
     
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