JEE Main 202122 Jul, Evening shiftMathematicsMediumTrigonometry118× since 2002If the domain of the function f(x)=cos−1x2−x+1sin−1(2x−12)f(x) = {{{{\cos }^{ - 1}}\sqrt {{x^2} - x + 1} } \over {\sqrt {{{\sin }^{ - 1}}\left( {{{2x - 1} \over 2}} \right)} }}f(x)=sin−1(22x−1)cos−1x2−x+1 is the interval (α\alphaα, β\betaβ], then α\alphaα + β\betaβ is equal to :AOption A. 32{3 \over 2}23BOption B. 2COption C. 12{1 \over 2}21DOption D. 1CheckSkip · show solution