Sin(x+pi/3 ) ≤1/2 помогите

Question

Sin(x+pi/3 ) ≤1/2
помогите

Answer 1

Решение
sin(x + π/3) ≤ 1/2
- π - arcsin(1/2) + 2πn ≤ x + π/3 ≤ arcsin(1/2) + 2πn, n ∈ Z
- π - π/6 + 2πn ≤ x + π/3 ≤ π/6 + 2πn, n ∈ Z
- 7π/6 + 2πn ≤ x + π/3 ≤ π/6 + 2πn, n ∈ Z
- 7π/6 - π/3 + 2πn ≤ x ≤ π/6 - π/3 + 2πn, n ∈ Z
- 3π/2 + 2πn ≤ x ≤ - π/6 + 2πn, n ∈ Z