# Inverse Hyperbolic Cosecant Calculator

## Calculate the inverse hyperbolic cosecant of a number

The calculator will find the inverse hyperbolic cosecant of the given value.

The inverse hyperbolic cosecant $y=\operatorname{csch}^{-1}(x)$ or $y=\operatorname{acsch}(x)$ or $y=\operatorname{arccsch}(x)$ is such a function that $\operatorname{csch}(y)=x$.

It can be expressed in terms of elementary functions: $y=\operatorname{csch}^{-1}(x)=\ln\left(\frac{1}{x}+\sqrt{\frac{1}{x^2}+1}\right)$.

The domain of the inverse hyperbolic cosecant is $(-\infty,0)\cup(0,\infty)$, the range is $(-\infty,0)\cup(0,\infty)$.

It is an odd function.

Related calculator: Hyperbolic Cosecant Calculator

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find $\operatorname{acsch}{\left(- \frac{1}{2} \right)}$.
$\operatorname{acsch}{\left(- \frac{1}{2} \right)} = - \operatorname{acsch}{\left(\frac{1}{2} \right)}\approx -1.44363547517881$A