1.
Let f(x)=∣1+sin⁡2xcos⁡2x4sin⁡2xsin⁡2x1+cos⁡2x4sin⁡2xsin⁡2xcos⁡2x1+4sin⁡2x∣f(x) = \begin{vmatrix} 1+\sin^2 x & \cos^2 x & 4\sin 2x \\ \sin^2 x & 1+\cos^2 x & 4\sin 2x \\ \sin^2 x & \cos^2 x & 1+4\sin 2x \end{vmatrix}, then the maximum value of f(x)f(x) is -