DLMF:1.9.E10 (Q284): Difference between revisions

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

sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10814 / rank
 
Normal rank
Property / Symbols used: Q10814 / qualifier
 
Defining formula:

θ 𝜃 {\displaystyle{\displaystyle\theta}}

\theta
Property / Symbols used: Q10814 / qualifier
 
xml-id: C1.S9.XMD2.m1ddec

Latest revision as of 16:05, 1 January 2020

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DLMF:1.9.E10
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    Statements

    e i θ = cos θ + i sin θ ; superscript 𝑒 𝑖 𝜃 𝜃 𝑖 𝜃 {\displaystyle{\displaystyle e^{i\theta}=\cos\theta+i\sin\theta;}}
    0 references
    DLMF:1.9.E10
    0 references
    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2aadec
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aadec
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2abdec
    0 references
    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2aadec
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    θ 𝜃 {\displaystyle{\displaystyle\theta}}
    C1.S9.XMD2.m1ddec
    0 references