# Inverse Hyperbolic Sine Calculator

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

The inverse hyperbolic sine $y=\sinh^{-1}(x)$ or $y=\operatorname{asinh}(x)$ or $y=\operatorname{arcsinh}(x)$ is such a function that $\sinh(y)=x$.

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

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

It is an odd function.

Related calculator: Hyperbolic Sine 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 $\operatorname{asinh}{\left(- \frac{1}{4} \right)}$.
$\operatorname{asinh}{\left(- \frac{1}{4} \right)} = - \operatorname{asinh}{\left(\frac{1}{4} \right)}\approx -0.247466461547263$A