Cofunction identities for JEE

Formula

\(\sin\left(\dfrac{\pi}{2}-x\right)=\cos x,\quad \cos\left(\dfrac{\pi}{2}-x\right)=\sin x,\quad \tan\left(\dfrac{\pi}{2}-x\right)=\cot x,\quad \cot\left(\dfrac{\pi}{2}-x\right)=\tan x,\quad \sec\left(\dfrac{\pi}{2}-x\right)=\csc x,\quad \csc\left(\dfrac{\pi}{2}-x\right)=\sec x\)

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

Conditions: Where defined.

Reduction and complementary-angle transformations.