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The solutions of the equation $\begin{vmatrix} 1 + \sin^2 x & \sin^2 x & \sin^2 x \ \cos^2 x & 1 + \cos^2 x & \cos^2 x \ 4\sin 2x & 4\sin 2x & 1 + 4\sin 2x \end{vmatrix} = 0$, $(0 < x < \pi)$, are
(1) $\dfrac{\pi}{12}, \dfrac{5\pi}{6}$
(2) $\dfrac{\pi}{6}, \dfrac{5\pi}{6}$
(3) $\dfrac{5\pi}{12}, \dfrac{7\pi}{12}$
(4) $\dfrac{7\pi}{12}, \dfrac{11\pi}{12}$
BETA
