The number of distinct real roots of \(\left|\begin{matrix}\sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos …

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

[JEE Main 2021, 25 Jul (Shift 2)]