The number of distinct real roots of $\begin{vmatrix}\sin x & \cos x & \cos x\\\cos x & \sin x & \cos x\\\cos x & \cos x &\sin x\end{vmatrix}=0\;$ in the interval $\large \frac{-\pi}{4}$$\leq x \leq\large \frac {\pi}{4}$ is

Question

$$\begin{array}{1 1}(A)\quad 0 & (B)\quad 2\\(C)\quad 1 & (D)\quad 3\end{array}$$