DLMF:4.15.E1 (Q1663): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: cosine function / rank
 
Normal rank
Property / Symbols used: cosine function / qualifier
 
Defining formula:

cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

\cos@@{\NVar{z}}
Property / Symbols used: cosine function / qualifier
 
xml-id: C4.S14.E2.m2aadec

Revision as of 18:19, 1 January 2020

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DLMF:4.15.E1
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    Statements

    Defining formula
    cos ⁡ ( x + i ⁢ y ) = sin ⁡ ( x + 1 2 ⁢ π + i ⁢ y ) , 𝑥 𝑖 𝑦 𝑥 1 2 𝜋 𝑖 𝑦 {\displaystyle{\displaystyle\cos\left(x+iy\right)=\sin\left(x+\tfrac{1}{2}\pi+% iy\right),}}
    0 references
    DLMF id
    DLMF:4.15.E1
    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.m2aadec
    0 references
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
     
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