The number of distinct real roots of \( \left|\begin{array}{lll}\si...
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The number of distinct real roots of \( \left|\begin{array}{lll}\sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & \cos x & \sin x\end{array}\right|=0 \) in the interval \( -\frac{\pi}{4} \leq x \leq \frac{\pi}{4} \) is
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