Domain and range of tangent and cotangent for JEE

Formula

\(\tan x\in\mathbb{R},\quad \cot x\in\mathbb{R}\)

Variables: \(x\in\mathbb{R}\).

Conditions: \(\tan x\) undefined when \(x=(2n+1)\pi/2\); \(\cot x\) undefined when \(x=n\pi\), \(n\in\mathbb{Z}\).

Domain restrictions in equations and transformations.