Mathematics

Problem

The general solution of

\sin x = \sin\left(\dfrac{\pi}{6}\right)

x = n\pi + (-1)^n\dfrac{\pi}{6}

, where

n \in \mathbb{Z}

. How many of these solutions lie in the interval

(-\pi,\pi]

? a) 1 b) 3 c) 2 d) 4