Cosecant of Full Angle

Theorem

 * $\csc 360^\circ = \csc 2 \pi$ is undefined

where $\csc$ denotes cosecant.

Proof
From Cosecant is Reciprocal of Sine:
 * $\csc \theta = \dfrac 1 {\sin \theta}$

From Sine of Full Angle:
 * $\sin 360^\circ = 0$

Thus $\csc \theta$ is undefined at this value.