Inverse Hyperbolic Cotangent Calculator

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

The inverse hyperbolic cotangent $$$y=\coth^{-1}(x)$$$ or $$$y=\operatorname{acoth}(x)$$$ or $$$y=\operatorname{arccoth}(x)$$$ is such a function that $$$\coth(y)=x$$$.

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

The domain of the inverse hyperbolic cotangent is $$$(-\infty,-1)\cup(1,\infty)$$$, the range is $$$(-\infty,0)\cup(0,\infty)$$$.

It is an odd function.

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 $$$\operatorname{acoth}{\left(5 \right)}$$$.

Answer

$$$\operatorname{acoth}{\left(5 \right)}\approx 0.202732554054082$$$A

For graph, see graphing calculator.