Помогите пожалуйста. √2sin(x/4-П/3)=-1

Question

Помогите пожалуйста. √2sin(x/4-П/3)=-1

Answer 1

√2sin(x/4 - π/3) = -1
sin(x/4 - π/3) = -1/√2
х/4 - π/3 = (-1)ⁿ · (-π/4) + πn, n ∈ Z
x/4 - π/3 = (-1)ⁿ⁺¹ · π/4 + πn, n ∈ Z
x/4 = π/3 + (-1)ⁿ⁺¹ · π/4 + πn, n ∈ Z 
x = 4π/3 + (-1)ⁿ⁺¹ · π + 4πn, n ∈ Z