DLMF:4.21.E43 (Q1747): 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: Q11218 / rank
 
Normal rank
Property / Symbols used: Q11218 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11218 / qualifier
 
xml-id: C4.S1.XMD6.m1fdec
Property / Symbols used
 
Property / Symbols used: Q11222 / rank
 
Normal rank
Property / Symbols used: Q11222 / qualifier
 
Defining formula:

y 𝑦 {\displaystyle{\displaystyle y}}

y
Property / Symbols used: Q11222 / qualifier
 
xml-id: C4.S1.XMD7.m1fdec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1ydec

Latest revision as of 18:29, 1 January 2020

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DLMF:4.21.E43
No description defined

    Statements

    | tan z | = ( cosh ( 2 y ) - cos ( 2 x ) cosh ( 2 y ) + cos ( 2 x ) ) 1 / 2 . 𝑧 superscript 2 𝑦 2 𝑥 2 𝑦 2 𝑥 1 2 {\displaystyle{\displaystyle|\tan z|=\left(\frac{\cosh\left(2y\right)-\cos% \left(2x\right)}{\cosh\left(2y\right)+\cos\left(2x\right)}\right)^{1/2}.}}
    0 references
    DLMF:4.21.E43
    0 references
    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2aaedec
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    cosh z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    C4.S28.E2.m2afdec
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    tan z 𝑧 {\displaystyle{\displaystyle\tan\NVar{z}}}
    C4.S14.E4.m2aidec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C4.S1.XMD6.m1fdec
    0 references
    y 𝑦 {\displaystyle{\displaystyle y}}
    C4.S1.XMD7.m1fdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1ydec
    0 references