Question

Хелп
Sin(x+pi/4) <= 1/2

Answer 1

Решение
Sin(x+π/4) ≤ 1/2
- π - arcsin(1/2) + 2πn ≤ x + π/4 ≤ arcsin(1/2) + 2πn, n∈Z
- π - π/6 + 2πn ≤ x + π/4 ≤ π/6 + 2πn,n ∈Z
- 7π/6 + 2πn ≤ x + π/4 ≤ π/6 + 2πn,n ∈Z
- 7π/6 - π/4 + 2πn ≤ x ≤ π/6 - π/4 + 2πn,n ∈Z
- 17π/12 + 2πn ≤ x ≤ - π/12 + 2πn, n∈Z