Нужно подробное решение. tgx=0 ctg (3 П/2-x) = -1 tg (x-П) = sqrt3 tg2x=-sqrt3 tgx=-2/3 tg (2x+П/6) = sqrt3/3

1) tg (x) = 0;

x = arctg (0) + - π * n, где n натуральное число;

x = 0 + - π * n.

2)

ctg (3π/2 - x) = - 1;

3π/2 - x = arcctg (-1) + - π * n;

3π/2 - x = 7π/4 + - π * n;

-x = 7π/4 - 6π/4 + - π * n;

x = - π/4 + - π * n.

3)

tg (x - π) = √3;

x - π = arcctg (√3) + - π * n;

x - π = π/3 + - π * n;

x = 4π/3 + - π * n;

4)

tg (2x) = √-3;

2x = arcctg (-√3) + - π * n;

2x = 4π/3 + - π * n;

x = 2π/3 + - π/2 * n;

5)

tg (x) = - 2/3;

x = arcctg (-2/3) + - π * n;

6)

tg (2x + π/6) = √3/3;

2x + π/6 = arcctg (√3/3) + - π * n;

2x + π/6 = π/6 + - π * n;

x = 0 + - π/2 * n.