hyperbolic tangent

hyperbolic tangent (plural hyperbolic tangents)

1. (mathematics) a hyperbolic function that is written in symbol tanh and defined as the following:

   ${\displaystyle \tanh(x)={\frac {\sinh(x)}{\cosh(x)}}={\frac {e^{x}-e^{-x}}{e^{x}+e^{-x}}}}$ 

• hyperbolic sine
• hyperbolic cosine