Symbols:A/Area Hyperbolic Cosecant/acsch

Area Hyperbolic Cosecant

$\operatorname {acsch}$

The inverse hyperbolic cosecant $\arcsch: \R_{\ne 0} \to \R$ is a real function defined on the non-zero real numbers $\R_{\ne 0}$ as:

$\forall x \in \R_{\ne 0}: \map \arcsch x := \map \ln {\dfrac 1 x + \dfrac {\sqrt {x^2 + 1} } {\size x} }$

where:

$\sqrt {x^2 + 1}$ denotes the positive square root of $x^2 + 1$

A variant symbol used to denote the area hyperbolic cosecant function is $\operatorname {acsch}$.

The $\LaTeX$ code for $\operatorname {acsch}$ is \operatorname {acsch} .

$\arcsch$

The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic cosecant function is $\arcsch$.

The $\LaTeX$ code for $\arcsch$ is \arcsch .

$\operatorname {acosech}$

A variant symbol used to denote the area hyperbolic cosecant function is $\operatorname {acosech}$.

The $\LaTeX$ code for $\operatorname {acosech}$ is \operatorname {acosech} .