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A value of $\theta \in (0, \pi/3)$, for which $\begin{vmatrix} 1 + \cos^2\theta & \sin^2\theta & 4\cos 6\theta \ \cos^2\theta & 1 + \sin^2\theta & 4\cos 6\theta \ \cos^2\theta & \sin^2\theta & 1 + 4\cos 6\theta \end{vmatrix} = 0$, is:
(1) $\dfrac{\pi}{9}$
(2) $\dfrac{\pi}{18}$
(3) $\dfrac{7\pi}{24}$
(4) $\dfrac{7\pi}{36}$
BETA
