JEE Main 202127 Jul, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let f(x)=∣sin2x−2+cos2xcos2x2+sin2xcos2xcos2xsin2xcos2x1+cos2x∣,x∈[0,π]f(x) = \left| {\matrix{ {{{\sin }^2}x} & { - 2 + {{\cos }^2}x} & {\cos 2x} \cr {2 + {{\sin }^2}x} & {{{\cos }^2}x} & {\cos 2x} \cr {{{\sin }^2}x} & {{{\cos }^2}x} & {1 + \cos 2x} \cr } } \right|,x \in [0,\pi ]f(x)=sin2x2+sin2xsin2x−2+cos2xcos2xcos2xcos2xcos2x1+cos2x,x∈[0,π]. Then the maximum value of f(x) is equal to ______________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution