1.
Let mm and MM be respectively the minimum and maximum values of
∣cos⁡2x1+sin⁡2xsin⁡2x1+cos⁡2xsin⁡2xsin⁡2xcos⁡2xsin⁡2x1+sin⁡2x∣\begin{vmatrix} \cos^{2}x & 1+\sin^{2}x & \sin2x \\ 1+\cos^{2}x & \sin^{2}x & \sin2x \\ \cos^{2}x & \sin^{2}x & 1+\sin2x \end{vmatrix}

Then the ordered pair (m,M)(m,M) is equal to: