1.NounA hyperbolic function that is the analogue of the tangent function for hyperbolic spaces, taking in a hyperbolic angle as an argument and returning the y-coordinate for the corresponding point on the unit hyperbola, symbolically represented as:
"
tanh
(
x
)
=
sinh
(
x
)
cosh
(
x
)
=
e
x
−
e
−
x
e
x
+
e
−
x
{\displaystyle \tanh(x)={\frac {\sinh(x)}{\cosh(x)}}={\frac {e^{x}-e^{-x}}{e^{x}+e^{-x}}}}
."