Hyperbolic Cosecant Function is Odd

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

Then $\csch$ is odd:


 * $\map \csch {-x} = -\csch x$

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