Hyperbolic Cotangent Calculator

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.

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Your Input

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


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

For graph, see graphing calculator.