Тригонометрическое уравнение

Question

Тригонометрическое уравнение

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Answer 1

2cos(3x+π/3)=1
cos(3x+π/3)=1/2
3x+π/3=-π/3+2πn U 3x+π/3=π/3+2πk
3x=-2π/3+2πn U 3x=2πk
x=-2π/9+2πn/3,n∈z U x=2πk/3,k∈z