$$\eqalign{
& \sin \left( {x + 2} \right) = {1 \over 3} \cr
& \Leftrightarrow \left[ \matrix{
x + 2 = \arcsin {1 \over 3} + k2\pi \hfill \cr
x + 2 = \pi - \arcsin {1 \over 2} + k2\pi \hfill \cr} \right. \cr
& \Leftrightarrow \left[ \matrix{
x = - 2 + \arcsin {1 \over 3} + k2\pi \hfill \cr
x = - 2 + \pi - \arcsin {1 \over 2} + k2\pi \hfill \cr} \right.\,\,\left( {k \in Z} \right) \cr} $$
