Giải phương trình: $\sqrt 3 \cos x - \sin x = \sqrt 3$.

$\sqrt 3 \cos x - \sin x = \sqrt 3$

⇔ $\frac{{\sqrt 3 }}{2}\cos x - \frac{1}{2}\sin x = \frac{{\sqrt 3 }}{2}$

⇔ $\sin \left( {\frac{\pi }{3}} \right)\cos x - \cos \left( {\frac{\pi }{3}} \right)\sin x = \frac{{\sqrt 3 }}{2}$

⇔ $\sin \left( {x - \frac{\pi }{3}} \right) = \sin \left( {\frac{\pi }{3}} \right)$

⇔ $\left[ \begin{array}{l}x - \frac{\pi }{3} = \frac{\pi }{3} + k2\pi \\x - \frac{\pi }{3} = \pi - \frac{\pi }{3} + k2\pi \end{array} \right.$

⇔$\left[ \begin{array}{l}x = 2\frac{\pi }{3} + k2\pi \\x = \pi + k2\pi \end{array} \right.$