Sin(п/3-2x)cos(п/3-2x) >или= -корень3/4

Question

Sin(п/3-2x)cos(п/3-2x) >или= -корень3/4

Answer 1

1/2sin(2π/3-4x)≥-√3/4
sin(2π/3-4x)≥-√3/2
sin(4x-2π/3)≤√3/2
2π/3+2πn≤4x-2π/3≤7π/3+2πn
4π/3+2πn≤4x≤3π+2πn
π/3+πn/2≤x≤3π/4+πn/2,n∈z