1.
If the minimum and the maximum values of the function f:[π4,π2]→Rf:\left[\frac{\pi}{4},\frac{\pi}{2}\right]\to\mathbb{R} defined by
f(θ)=∣−sin⁡2θ−1−sin⁡2θ1−cos⁡2θ−1−cos⁡2θ11210−2∣f(\theta)=\begin{vmatrix} -\sin^{2}\theta & -1-\sin^{2}\theta & 1 \\ -\cos^{2}\theta & -1-\cos^{2}\theta & 1 \\ 12 & 10 & -2 \end{vmatrix}

are mm and MM respectively, then the ordered pair (m,M)(m,M) is equal to: