JEE Main 202125 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002The number of distinct real roots of ∣sinxcosxcosxcosxsinxcosxcosxcosxsinx∣=0\left| {\matrix{ {\sin x} & {\cos x} & {\cos x} \cr {\cos x} & {\sin x} & {\cos x} \cr {\cos x} & {\cos x} & {\sin x} \cr } } \right| = 0sinxcosxcosxcosxsinxcosxcosxcosxsinx=0 in the interval −π4≤x≤π4- {\pi \over 4} \le x \le {\pi \over 4}−4π≤x≤4π is :AOption A. 4BOption B. 1COption C. 2DOption D. 3CheckSkip · show solution