Question

Sin(pi/3-2x)*cos(pi/3-2x)≥-√3/4 найдите решения неравенства пожалуйста

Answer 1

1/2*sin(2π/3-4x)≥-√3/4
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
x∈[π/3+πn/2;3π/4+πn/2,n∈z]