Mathematics · important
Allied angles with \(\pi/2\) shifts for JEE
Trigonometrical identities and trigonometrical functions
Formula
\[\sin\left(\dfrac{\pi}{2}+x\right)=\cos x,\quad \cos\left(\dfrac{\pi}{2}+x\right)=-\sin x,\quad \tan\left(\dfrac{\pi}{2}+x\right)=-\cot x,\\ \sin\left(\dfrac{3\pi}{2}+x\right)=-\cos x,\quad \cos\left(\dfrac{3\pi}{2}+x\right)=\sin x,\quad \tan\left(\dfrac{3\pi}{2}+x\right)=-\cot x\]
Variables: \(x\in\mathbb{R}\).
Conditions: Where defined.
Transformation and simplification of trigonometric expressions.