# 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.

Related calculator: Inverse Hyperbolic Cotangent Calculator

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