DLMF:4.42.E10 (Q1998): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(5 intermediate revisions by the same user not shown)
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.m2aedec
Property / Symbols used
 
Property / Symbols used: Q11265 / rank
 
Normal rank
Property / Symbols used: Q11265 / qualifier
 
Defining formula:

A 𝐴 {\displaystyle{\displaystyle A}}

A
Property / Symbols used: Q11265 / qualifier
 
xml-id: C4.S42.XMD14.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11269 / rank
 
Normal rank
Property / Symbols used: Q11269 / qualifier
 
Defining formula:

B 𝐵 {\displaystyle{\displaystyle B}}

B
Property / Symbols used: Q11269 / qualifier
 
xml-id: C4.S42.XMD15.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11266 / rank
 
Normal rank
Property / Symbols used: Q11266 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11266 / qualifier
 
xml-id: C4.S42.XMD17.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11267 / rank
 
Normal rank
Property / Symbols used: Q11267 / qualifier
 
Defining formula:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q11267 / qualifier
 
xml-id: C4.S42.XMD18.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11268 / rank
 
Normal rank
Property / Symbols used: Q11268 / qualifier
 
Defining formula:

c 𝑐 {\displaystyle{\displaystyle c}}

c
Property / Symbols used: Q11268 / qualifier
 
xml-id: C4.S42.XMD19.m1cdec

Latest revision as of 19:25, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.42.E10
No description defined

    Statements

    sin a cos B = cos b sin c - sin b cos c cos A , 𝑎 𝐵 𝑏 𝑐 𝑏 𝑐 𝐴 {\displaystyle{\displaystyle\sin a\cos B=\cos b\sin c-\sin b\cos c\cos A,}}
    0 references
    DLMF:4.42.E10
    0 references
    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2addec
    0 references
    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2aedec
    0 references
    A 𝐴 {\displaystyle{\displaystyle A}}
    C4.S42.XMD14.m1cdec
    0 references
    B 𝐵 {\displaystyle{\displaystyle B}}
    C4.S42.XMD15.m1bdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C4.S42.XMD17.m1cdec
    0 references
    b 𝑏 {\displaystyle{\displaystyle b}}
    C4.S42.XMD18.m1cdec
    0 references
    c 𝑐 {\displaystyle{\displaystyle c}}
    C4.S42.XMD19.m1cdec
    0 references