1) sin ( 2x-п/3) +1=0 2) 2 sin x-1=0

1) sin(2x - π/3) + 1 = 0;

sin(2x - π/3) = -1;

2x - π/3 = arcsin(-1) +- 2 * π * n, где n - натуральное число;

2x - π/3 = - π/2 +- 2 * π * n;

2x = - 2π/3 +- 2 * π * n;

x = - π/3 +- π * n.

2) 2sin(x) - 1 = 0;

2sin(x) = 1;

sin(x) = 1/2;

x = arcsin(1/2) +- 2 * π * n;

x = π/6 +- 2 * π * n.