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How many distinct real roots $x$ satisfy the determinant

$\left | \begin{array}{ccc} \sin x & \cos x & \cos x\\ \cos x& \sin x & \cos x\\ \cos x & \cos x& \sin x \\ \end{array} \right |=0$ lie in the interval $[-\frac{\pi}{4},\frac{\pi}{4}]$ ?

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