Question

Помогитеее (подробное решение)

Answer 1

1. 1) ctg x = 1; x ∈(- π; 2π).
x = π/4 + πk; k∈Z
x= - 3π/4;   π/4; 5π/4.

2) ctgx = - √3; x∈(- π; 2π).
x = - π/6 + 2πk; k ∈Z.
x = - π/6; 5π/6.

2. 1) ctg x < - 1;x∈(- π; 2π).
- π/4 < x < 0 U   3π/4 < x < 2π  U   7π/4 < x < 2π.
2) ctg x ≥ - √3; x ∈ ( - π; 2π).
- π ≤ x ≤ - π/6   U   0 ≤ x ≤5π/6   U π ≤ x ≤ 11 π/6