DLMF:4.15.E3 (Q1665)

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DLMF:4.15.E3
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    Statements

    Defining formula
    sec ⁡ ( x + i ⁢ y ) = csc ⁡ ( x + 1 2 ⁢ π + i ⁢ y ) , 𝑥 𝑖 𝑦 𝑥 1 2 𝜋 𝑖 𝑦 {\displaystyle{\displaystyle\sec\left(x+iy\right)=\csc\left(x+\tfrac{1}{2}\pi+% iy\right),}}
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    DLMF id
    DLMF:4.15.E3
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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.m2acdec
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