1/2√3 sin x + 1/2 cos x =

Caranya ada pada gambar

[tex] \frac{1}{2} \sqrt{3}\sin x+ \frac{1}{2}\cos x=\cdots \\ \\ =\cos( \frac{\pi}{6})\sin x+\sin( \frac{\pi}{6})\cos x \\ =\sin x \cos( \frac{\pi}{6})+ \cos x \sin( \frac{\pi}{6}) \\ \\ =\sin(x+ \frac{\pi}{6}) [/tex]

Berdasarkan aturan:

[tex]\sin(a+b)=\sin a\cos b+\cos a\sin b[/tex]