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=cosh1(x)y=\cosh^{-1}(x) or y=acosh(x)y=\operatorname{acosh}(x) or y=arccosh(x)y=\operatorname{arccosh}(x) is such a function that cosh(y)=x\cosh(y)=x.

It can be expressed in terms of elementary functions: y=cosh1(x)=ln(x+x21)y=\cosh^{-1}(x)=\ln\left(x+\sqrt{x^2-1}\right).

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

Your Input

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

Answer

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

For graph, see the graphing calculator.