DLMF:4.28.E4 (Q1841)

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DLMF:4.28.E4
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    Statements

    Defining formula
    tanh ⁡ z = sinh ⁡ z cosh ⁡ z , 𝑧 𝑧 𝑧 {\displaystyle{\displaystyle\tanh z=\frac{\sinh z}{\cosh z},}}
    0 references
    DLMF id
    DLMF:4.28.E4
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    Symbols used
    hyperbolic cosine function
    Defining formula
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2abdec
    0 references
    hyperbolic sine function
    Defining formula
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2abdec
    0 references
     
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