Giải giúp e với:(( CMR: √3sinx+cosx=2sin(x+π/6)=2cos(x-π/3)

$\begin{array}{l} \sqrt 3 \sin x + \cos x\\  = 2\left( {\dfrac{{\sqrt 3 }}{2}\sin x + \dfrac{1}{2}\cos x} \right)\\  = 2\left( {\sin x\cos \dfrac{\pi }{6} + \sin \dfrac{\pi }{6}\cos x} \right)\\  = 2\sin \left( {x + \dfrac{\pi }{6}} \right)\\  = 2\left( {\cos x\cos \dfrac{\pi }{3} + \sin \dfrac{\pi }{3}\sin x} \right)\\  = 2\cos \left( {x - \dfrac{\pi }{3}} \right) \end{array}$