Mathematics · important
Standard principal values of inverse cosine for JEE
Inverse trigonometrical functions and their properties
Formula
\[\cos^{-1}1=0,\ \cos^{-1}\left(\dfrac{\sqrt3}{2}\right)=\dfrac{\pi}{6},\ \cos^{-1}\left(\dfrac{1}{\sqrt2}\right)=\dfrac{\pi}{4},\ \cos^{-1}\left(\dfrac{1}{2}\right)=\dfrac{\pi}{3},\ \cos^{-1}0=\dfrac{\pi}{2},\ \cos^{-1}(-1)=\pi\]
Conditions: Using principal values.
Quick evaluation in objective problems.