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
Your Input
Find $$$\operatorname{acosh}{\left(3 \right)}$$$.
Answer
$$$\operatorname{acosh}{\left(3 \right)}\approx 1.762747174039086$$$A
For graph, see the graphing calculator.