DLMF:4.25.E1 (Q1812)

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DLMF:4.25.E1
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    Statements

    Defining formula
    tan ⁡ z = z 1 - z 2 3 - z 2 5 - z 2 7 - ⁢ ⋯ , 𝑧 continued-fraction 𝑧 1 continued-fraction superscript 𝑧 2 3 continued-fraction superscript 𝑧 2 5 continued-fraction superscript 𝑧 2 limit-from 7 ⋯ {\displaystyle{\displaystyle\tan z=\cfrac{z}{1-\cfrac{z^{2}}{3-\cfrac{z^{2}}{5% -\cfrac{z^{2}}{7-}}}}\cdots,}}
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    DLMF id
    DLMF:4.25.E1
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    constraint
    … … {\displaystyle{\displaystyle\dots}}
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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.m2adec
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    tangent function
    Defining formula
    tan ⁡ z 𝑧 {\displaystyle{\displaystyle\tan\NVar{z}}}
    xml-id
    C4.S14.E4.m2adec
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