1) sin ( 2x-п/3) +1=0 2) 2 sin x-1=0

1) sin(2x - /3) + 1 = 0;

sin(2x - /3) = -1;

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

2x - /3 = - /2 +- 2 *  * n;

2x = - 2/3 +- 2 *  * n;

x = - /3 +- * n.

2) 2sin(x) - 1 = 0;

2sin(x) = 1;

sin(x) = 1/2;

x = arcsin(1/2) +- 2 *  * n;

x = /6 +- 2 *  * n.