Inverse Hyperbolic Cosine Calculator

Calculate the inverse hyperbolic cosine of a number

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

The inverse hyperbolic cosine $$$y=\cosh^{-1}(x)$$$ or $$$y=\operatorname{acosh}(x)$$$ or $$$y=\operatorname{arccosh}(x)$$$ is such a function that $$$\cosh(y)=x$$$.

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

The domain of the inverse hyperbolic cosine is $$$[1,\infty)$$$, the range is $$$[0,\infty)$$$.

This function is neither even nor odd.

Related calculator: Hyperbolic Cosine 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.

Your Input

Find $$$\operatorname{acosh}{\left(3 \right)}$$$.


$$$\operatorname{acosh}{\left(3 \right)}\approx 1.762747174039086$$$A

For graph, see the graphing calculator.