Корень из3 cos x + sin x = корень из3

Question

Корень из3 cos x + sin x = корень из3

Answer 1

√3cosx + sinx = √3
√3/2cosx + 1/2sinx = √3/2
cosπ/6cosx + sinπ/6sinx = √3/2
cos(x - π/6) = √3/2
x - π/6 = ±π/6 + 2πn, n ∈ Z
x = ±π/6 + π/6 + 2πn, n ∈ Z.