Question
Express \dfrac{\sqrt{3} }{2}\sin x+\dfrac{1}{2}\cos x in terms of sum of angles for sines function.
Express \dfrac{\sqrt{3} }{2}\sin x+\dfrac{1}{2}\cos x in terms of sum of angles for sines function.
\dfrac{\sqrt{3} }{2}\sin x+\dfrac{1}{2}\cos x
= \cos \dfrac{\pi}{6} \sin x+ \sin \dfrac{\pi}{6}\cos x
=\sin (x+\dfrac{\pi}{6})