How many real numbers $x$ satisfy $\sin\left(x + \frac{\pi}{6}\right) = \sin x + \sin\frac{\pi}{6}$ and $0 \leq x < 2\pi$? (1) 1 (2) 2 (3) 3 (4) 4 (5) 5 or more
How many real numbers $x$ satisfy $\sin\left(x + \frac{\pi}{6}\right) = \sin x + \sin\frac{\pi}{6}$ and $0 \leq x < 2\pi$?\\
(1) 1\\
(2) 2\\
(3) 3\\
(4) 4\\
(5) 5 or more