Решите, 1) sin 8x = -1 2)sin (x/6 - п/3) = 1/корень из 2 3) 2sin 4x + 1 = 0

1)sin8x=-1
8x=-Pi/2+2pin,n€Z /*1/8
x=-Pi/16+pi/4,n€Z

2)sin(x/6-pi/3)=1√2
sin(x/6-pi/3)=√2/2
x/6-pi/3=(-1)^k*pi/4+pik,k€Z
x/6=(-1)^k*pi/4+pi/3+pik,k€Z /*6
x=(-1)^k*3pi/2+2pi+6pik,k€Z

3)2sin4x=-1
sin4x=-1/2
4x=(-1)^k+1*pi/6+pik,k€Z /*1/4
x=(-1)^k+1*pi/24+pik/4,k€Z