Решите уравнения : 2 sin (x/2-п/6)=-1

Question

Решите уравнения :
2 sin (x/2-п/6)=-1

Answer 1

Sin(x/2-π/6)=-1/2
x/2-π/6=-π/6+2πn,n∈z U x/2-π/6=7π/6+2πm.m∈z
x/2=2πn,n∈z U x/2=4π/3+2πm,m∈x
x=4πn,n∈z U x=8π/3+4πm,m∈z