Cosecant Function is Odd

Theorem
Let $x \in \R$ be a real number.

Let $\csc x$ be the cosecant of $x$.

Then, whenever $\csc x$ is defined:
 * $\csc \left({-x}\right) = -\csc x$

That is, the cosecant function is odd.

Also see

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