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Let f(x)=\beginvmatrix 1+\sin^2x & \cos^2x & \sin 2x\\ \sin^2x & 1+\cos^2x & \sin 2x\\ \sin^2x & \cos^2x & 1+\sin 2x \endvmatrix,\ x\in\left[\dfracπ6,\dfracπ3\right]. If α and β respectively are the maximum and the minimum values of f, then | Watch the step-by-step video solution for this NIMCET PYQ.