Ответ:

[tex]x=(-1)^n*\frac{\pi }{6} -\frac{\pi }{6}+\pi n, \ n=Z.[/tex]

Объяснение:

2sin(x+pi/6)=1;

sin(x+pi/6)=0.5;

[tex]x+\frac{\pi }{6}=(-1)^n*\frac{\pi }{6} +\pi n, \ n=Z;[/tex]

[tex]x=(-1)^n*\frac{\pi }{6} -\frac{\pi }{6}+\pi n, \ n=Z.[/tex]