Решить неравенство
2cos(x+pi/3)-sqrt(3)<0

2Cos ( x + π/3) < √3
Cos (x + π/3) < √3/2
2πk + π/6< x + π/3 < 11π/6 + 2πk , k∈Z
2πk + π/6 - π/3 < x < 11π/6 + 2πk - π/3 , k ∈Z
2πk -π/6 < x < 3π/2 + 2πk , k∈Z