Ответы на вопрос:
1)x∈[π/4+2πn; 3π/4+2πn] 2)cos(4x-π/6)> √3/2 -π/6+2πn< 4x-π/6< π/6+2πn -π/6+π/6+2πn< 4x< π/6+π/6+2πn 2πn< 4x< π/3+2πn πn/2< x< π/12+πn/2 x∈(πn/2; π/12+πn/2) 3)1/2sin(2π/3-4x)≥-√3/4 sin(2π/3-4x)≥-√3/2 -π/3+2πn≤2π/3-4x≤4π/3+2πn -π/3-2π/3+2πn≤-4x≤4π/3-2π/3+2πn -π+2πn≤-4x≤2π/3+2πn -π/6+2πn≤x≤π/4+2πn x∈[-π/6+2πn; π/4+2πn]
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