DLMF:4.15.E2 (Q1664)

From DRMF
Revision as of 18:19, 1 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:4.15.E2
No description defined

    Statements

    Defining formula
    cot ⁡ ( x + i ⁢ y ) = - tan ⁡ ( x + 1 2 ⁢ π + i ⁢ y ) , 𝑥 𝑖 𝑦 𝑥 1 2 𝜋 𝑖 𝑦 {\displaystyle{\displaystyle\cot\left(x+iy\right)=-\tan\left(x+\tfrac{1}{2}\pi% +iy\right),}}
    0 references
    DLMF id
    DLMF:4.15.E2
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
    0 references
    cotangent function
    Defining formula
    cot ⁡ z 𝑧 {\displaystyle{\displaystyle\cot\NVar{z}}}
    xml-id
    C4.S14.E7.m2aadec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2ahdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1664&oldid=27059"