Question 839173
(a) *[tex \large \sin (x + \frac{\pi}{3}) = \sin x \cos \frac{\pi}{3} + \cos x \sin \frac{\pi}{3} = \frac{1}{2} \sin x + \frac{\sqrt{3}}{2} \cos x], which is an element of S.


(b) Just did that in part (a).