Question

sin(x-pie by 6)+cos(x-pie by 3)=

Answer 1

$=(sin x cos\frac{\pi}{6} -cosxsin\frac{\pi}{6}) + (cosxcos\frac{\pi}{3}+sinxsin\frac{\pi}{3})$

$=sinx*\frac{\sqrt{3}}{2} - cosx *\frac{1}{2} + cosx *\frac{1}{2}+sinx*\frac{\sqrt{3}}{2}$

$=\frac{\sqrt{3}*sinx}{2} +\frac{\sqrt{3}*sinx}{2}$

$\sqrt{3} * sinx$