Giải phương trình \(c{\rm{os}}3x.\tan 4x = \sin 5x\)

A. \(x = \frac{{k2\pi }}{3},x = \frac{\pi }{{16}} + \frac{{k\pi }}{8}\left( {k \in Z} \right)\)

B. \(x = k\pi ,x = \frac{\pi }{{16}} + \frac{{k\pi }}{8}\left( {k \in Z} \right)\)

C. \(x = k2\pi ,x = \frac{\pi }{{16}} + \frac{{k3\pi }}{8}\left( {k \in Z} \right)\)

D. \(x = \frac{{k\pi }}{2},x = \frac{\pi }{{16}} + \frac{{k3\pi }}{8}\left( {k \in Z} \right)\)