DLMF:4.21.E29 (Q1731): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: tangent function / rank
 
Normal rank
Property / Symbols used: tangent function / qualifier
 
Defining formula:

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

\tan@@{\NVar{z}}
Property / Symbols used: tangent function / qualifier
 
xml-id: C4.S14.E4.m2agdec
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.m1kdec

Latest revision as of 18:27, 1 January 2020

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DLMF:4.21.E29
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    Statements

    tan ( 2 z ) = 2 tan z 1 - tan 2 z = 2 cot z cot 2 z - 1 = 2 cot z - tan z . 2 𝑧 2 𝑧 1 2 𝑧 2 𝑧 2 𝑧 1 2 𝑧 𝑧 {\displaystyle{\displaystyle\tan\left(2z\right)=\frac{2\tan z}{1-{\tan^{2}}z}=% \frac{2\cot z}{{\cot^{2}}z-1}=\frac{2}{\cot z-\tan z}.}}
    0 references
    DLMF:4.21.E29
    0 references
    cot z 𝑧 {\displaystyle{\displaystyle\cot\NVar{z}}}
    C4.S14.E7.m2acdec
    0 references
    tan z 𝑧 {\displaystyle{\displaystyle\tan\NVar{z}}}
    C4.S14.E4.m2agdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1kdec
    0 references