D=∣cos2x1+cos2xcos2x1+sin2xsin2xsin2xsin2xsin2x1+sin2x∣
C1→C1+C2
D=∣2211+sin2xsin2xsin2xsin2xsin2x1+sin2x∣
R1→R1−2R3 and R2→R2−2R3
D=∣001cos2x−sin2xsin2x−(2+sin2x)−(2+sin2x)1+sin2x∣⇒D=−2−sin2x
As range of sin2x∈[−1,1], thus
m=−3,M=−1