Hyperbolic Cotangent Calculator

Calculate the hyperbolic cotangent of a number

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

The hyperbolic cotangent $y=\coth(x)$ is such a function that $y=\frac{\cosh(x)}{\sinh(x)}=\frac{e^x+e^{-x}}{e^x-e^{-x}}$ .

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

It is an odd function.

Find $\coth{\left(\frac{1}{2} \right)}$ .

$\coth{\left(\frac{1}{2} \right)}\approx 2.163953413738653$ A

For graph, see the graphing calculator.