Inverse Hyperbolic Cosecant is Odd Function

Theorem
Let $x \in \R$.

Then:
 * $\operatorname{csch}^{-1} \left({-x}\right) = -\operatorname{csch}^{-1} x$

where $\operatorname{csch}^{-1} \left({-x}\right)$ denotes the inverse hyperbolic cosecant function.