DLMF:4.21.E23 (Q1725): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: tangent function / rank
 
Normal rank
Property / Symbols used: tangent function / qualifier
 
test:

tan ⁡ z 𝑧 {\displaystyle{\displaystyle\tan\NVar{z}}}

\tan@@{\NVar{z}}
Property / Symbols used: tangent function / qualifier
 
xml-id: C4.S14.E4.m2acdec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1edec

Latest revision as of 17:26, 1 January 2020

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DLMF:4.21.E23
No description defined

    Statements

    test
    tan ⁡ z 2 = ± ( 1 - cos ⁡ z 1 + cos ⁡ z ) 1 / 2 = 1 - cos ⁡ z sin ⁡ z = sin ⁡ z 1 + cos ⁡ z . 𝑧 2 plus-or-minus superscript 1 𝑧 1 𝑧 1 2 1 𝑧 𝑧 𝑧 1 𝑧 {\displaystyle{\displaystyle\tan\frac{z}{2}=\pm\left(\frac{1-\cos z}{1+\cos z}% \right)^{1/2}=\frac{1-\cos z}{\sin z}=\frac{\sin z}{1+\cos z}.}}
    0 references
    DLMF id
    DLMF:4.21.E23
    0 references
    Symbols used
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2apdec
    0 references
    sine function
    test
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aodec
    0 references
    tangent function
    test
    tan ⁡ z 𝑧 {\displaystyle{\displaystyle\tan\NVar{z}}}
    xml-id
    C4.S14.E4.m2acdec
    0 references
    Q11217
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1edec
    0 references
     
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