Cosx + (корень из 3) * sinx=sin (x/2-пи/6)

2 (1/2*сosx+√3/2*sinx) = sin (x/2-π/6)

2 сos (x-π/3) = sin (x/2-π/6)

x-π/3=2 * (x/2-π/6)

2 * (1-2sin² (x/2-π/6)) - sin (x/2-π/6) = 0

sin (x/2-π/6) = a

2-4a²-a=0

4a²+a-2=0

D=1+32=33

a1 = (-1-√33) / 8

sin (x/2-π/6) = (-1-√33) / 8

x/2-π/6 = (-1) ^ (n+1) acrsin[ (1+√33) / 8]+πn

x/2=π/6 + (-1) ^ (n+1) acrsin[ (1+√33) / 8]+πn

x=π/3 + (-1) ^ (n+1) * 2acrsin[ (1+√33) / 8]+2πn, n∈z

a1 = (-1+√33) / 8

sin (x/2-π/6) = (-1+√33) / 8

x/2-π/6 = (-1) ^k*acrsin[ (-1+√33) / 8]+πk

x/2=π/6 + (-1) ^*acrsin[ (-1+√33) / 8]+πk

x=π/3 + (-1) ^k*2acrsin[ (-1+√33) / 8]+2πk, k∈z