Делим обе части уравнения на 2:
√3/2 · sinx - 1/2 · cosx = 1/2
cos(π/6) · sinx - sin(π/6) · cosx = 1/2
sin(x - π/6) = 1/2
x - π/6 = arcsin(1/2) + 2πn или x - π/6 = π - arcsin(1/2) + 2πm
x - π/6 = π/6 + 2πn x - π/6 = π - π/6 + 2πm
x = π/3 + 2πn x = π + 2πm