Sin(3x-П/6)=1/2, x[-2П;П]

3x-П/6=П/6+2Пk 3x=П/3+2Пk x=П/9+2Пk/3 П/9+2Пk/3<=П 2/3k<=8/9  k<=(8/9)*(3/2)=4/3   k<=4/3  k=1  x=П/9+2П/3=7П/9  П/9+2Пk/3>=-2П k>=-19/6 k=0 x=П/9 k=-1 x=-5П/9 k=-2 x=-11П/9 k=-3 x=-17П/9   3x-П/6=5П/6+2Пk 3x=П+2Пk x=П/3+2Пk/3  k=0  x=П/3                      k=1  x=П                       k=-3  x=-5П/3                       k=-2 x=-П                        k=-1 x=-П/3