Even-odd properties for JEE

Formula

\(\sin(-x)=-\sin x,\quad \cos(-x)=\cos x,\quad \tan(-x)=-\tan x,\quad \cot(-x)=-\cot x,\quad \sec(-x)=\sec x,\quad \csc(-x)=-\csc x\)

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

Conditions: Where defined.

Simplification, proving identities, solving equations.