Definition:Cotangent/Real Function

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

The real function $\cot x$ is defined as:


 * $\cot x = \dfrac {\cos x} {\sin x} = \dfrac 1 {\tan x}$

where:
 * $\sin x$ is the sine of $x$
 * $\cos x$ is the cosine of $x$
 * $\tan x$ is the tangent of $x$

The definition is valid for all $x \in \R$ such that $\sin x \ne 0$.