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