Решите тригонометрическое уровнение

2*sin⁡ (x+π/3) = - 1

Решение

2*sin⁡ (x+π/3) = - 1

sin⁡ (x+π/3) = - 1/2

x + π/3 = (-1) ^n arcsin (- 1/2) + πk, k ∈ Z

x + π/3 = (-1) ^ (n+1) arcsin (1/2) + πk, k ∈ Z

x + π/3 = (-1) ^ (n+1) * (π/6) + πk, k ∈ Z

x = (-1) ^ (n+1) * (π/6) - π/3 + πk, k ∈ Z