DLMF:4.23.E31 (Q1783)

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DLMF:4.23.E31
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    Statements

    test
    w = Arcsin ⁡ z = ( - 1 ) k ⁢ arcsin ⁡ z + k ⁢ π , 𝑤 multivalued-inverse-sine 𝑧 superscript 1 𝑘 𝑧 𝑘 𝜋 {\displaystyle{\displaystyle w=\operatorname{Arcsin}z=(-1)^{k}\operatorname{% arcsin}z+k\pi,}}
    0 references
    DLMF id
    DLMF:4.23.E31
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ajdec
    0 references
    Q11242
    test
    arcsin ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m5agdec
    0 references
    general arcsine function
    test
    Arcsin ⁡ z multivalued-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{Arcsin}\NVar{z}}}
    xml-id
    C4.S23.E1.m2abdec
    0 references
    Q11219
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C4.S1.XMD1.m1dec
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