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[[File:The cardinal hyperbolic tangent function tanhc(z) plotted in the complex plane from -2-2i to 2+2i.svg|alt=The cardinal hyperbolic tangent function tanhc(z) plotted in the complex plane from -2-2i to 2+2i|thumb|The cardinal hyperbolic tangent function tanhc(z) plotted in the complex plane from -2-2i to 2+2i]]
In mathematics, the '''tanhc function''' is defined for <math>z \neq 0</math> as<ref>{{Cite web |last=Weisstein |first=Eric W. |title=Tanhc Function |url=https://mathworld.wolfram.com/TanhcFunction.html |access-date=2022-11-17 |website=mathworld.wolfram.com |language=en}}</ref>
<math display="block">\operatorname{tanhc}(z)=\frac {\tanh(z) }{z}</math>The tanhc function is the hyperbolic analogue of the [[tanc function]].
[[File:Tanhc 2D plot.png|thumb|Tanhc 2D plot]]
[[File:Tanhc'(z) 2D plot.png|thumb|Tanhc'(z) 2D plot]]
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