The number of distinct real root of sin xcos xcos xcos xsin xcos xcos – InterviewSolution

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1.	The number of distinct real root of sin xcos xcos xcos xsin xcos xcos xcos xsin x=0 in the interval -π4, π4, is(a) 0(b) 2(c) 1(d) 3
Answer» The number of distinct real root of $\|\begin{matrix} \sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & \cos x & \sin x \end{matrix}\| = 0$ in the interval $[- \frac{π}{4}, \frac{π}{4}],$ is (a) 0 (b) 2 (c) 1 (d) 3

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