DLMF:4.21.E39 (Q1743)

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Language	Label	Description	Also known as
English	DLMF:4.21.E39	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\tan z=\frac{\sin\left(2x\right)+\mathrm{i}\sinh% \left(2y\right)}{\cos\left(2x\right)+\cosh\left(2y\right)},}}

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DLMF:4.21.E39

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2aaadec

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hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2abdec

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hyperbolic sine function

Defining formula

{\displaystyle{\displaystyle\sinh\NVar{z}}}

C4.S28.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2acdec

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Defining formula

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

C4.S14.E1.m2azdec

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tangent function

Defining formula

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

C4.S14.E4.m2ahdec

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Defining formula

{\displaystyle{\displaystyle x}}

C4.S1.XMD6.m1bdec

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Defining formula

{\displaystyle{\displaystyle y}}

C4.S1.XMD7.m1bdec

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Defining formula

{\displaystyle{\displaystyle z}}

C4.S1.XMD8.m1udec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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