\({\sin ^3}x - \sqrt 3 {\cos ^3}x = \sin x{\cos ^2...

Câu hỏi: \({\sin ^3}x - \sqrt 3 {\cos ^3}x = \sin x{\cos ^2}x - \sqrt 3 {\sin ^2}x\cos x.\)

A \(\left[ \begin{array}{l}x = \frac{\pi }{4} + k\pi \\x =  - \frac{\pi }{3} + k\pi \end{array} \right.\,\,\,\,\left( {k \in \mathbb{Z}} \right)\)

B \(\left[ \begin{array}{l}x = \frac{\pi }{4} + k2\pi \\x =  - \frac{\pi }{3} + k2\pi \end{array} \right.\,\,\,\,\left( {k \in \mathbb{Z}} \right)\)

C \(\left[ \begin{array}{l}x =  \pm \frac{\pi }{4} + k2\pi \\x =  - \frac{\pi }{3} + k2\pi \end{array} \right.\,\,\,\,\left( {k \in \mathbb{Z}} \right)\)

D \(\left[ \begin{array}{l}x =  \pm \frac{\pi }{4} + k\pi \\x =  - \frac{\pi }{3} + k\pi \end{array} \right.\,\,\,\,\left( {k \in \mathbb{Z}} \right)\)