Помогите решить пример √2cos(x+п/3)=-1

Question

Помогите решить пример
√2cos(x+п/3)=-1

Answer 1

Решение
√2cos(x+π/3) = -1
cos(x + π/3) = - 1/√2
x + π/3 = (+ -)arccos(-1/√2) + 2πn, n∈z
x + π/3 = (+ -)(π - arccos1/√2) + 2πn, n∈z
x + π/3 = (+ -)(π - π/4) + 2πn, n∈z
x + π/3 = (+ -)(3π/4) + 2πn, n∈z
x  = (+ -)(3π/4) - π/3 + 2πn, n∈z