Hyperbolic Cosecant Function is Odd

Theorem
Let $\operatorname{csch}: \C \to \C$ be the hyperbolic cosecant function on the set of complex numbers.

Then $\operatorname{csch}$ is odd:


 * $\operatorname{csch} \left({-x}\right) = -\operatorname{csch} x$

Also see

 * Hyperbolic Sine Function is Odd
 * Hyperbolic Cosine Function is Even
 * Hyperbolic Tangent Function is Odd
 * Hyperbolic Cotangent Function is Odd
 * Hyperbolic Secant Function is Even


 * Cosecant Function is Odd