Hyperbolic Cosecant Calculator

Calculate the hyperbolic cosecant of a number

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

The hyperbolic cosecant y=csch(x)y=\operatorname{csch}(x) is such a function that y=1sinh(x)=2exexy=\frac{1}{\sinh(x)}=\frac{2}{e^x-e^{-x}}.

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

It is an odd function.

Related calculator: Inverse Hyperbolic Cosecant Calculator

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Your Input

Find csch(12)\operatorname{csch}{\left(- \frac{1}{2} \right)}.

Answer

csch(12)=csch(12)1.919034751334944\operatorname{csch}{\left(- \frac{1}{2} \right)} = - \operatorname{csch}{\left(\frac{1}{2} \right)}\approx -1.919034751334944A

For graph, see the graphing calculator.