Ta có:
`\qquad sin(2x-π/6)=1/2`
`<=> sin(2x-π/6)=sin\ π/6`
`<=>`$\left[\begin{array}{l}2x-\dfrac{π}{6}=\dfrac{π}{6}+k2π\\2x-\dfrac{π}{6}=π-\dfrac{π}{6}+k2π\end{array}\right.\ (k\in Z)$
`<=>`$\left[\begin{array}{l}2x=\dfrac{π}{3}+k2π\\2x=π+k2π\end{array}\right.\ (k\in Z)$
`<=>`$\left[\begin{array}{l}x=\dfrac{π}{6}+kπ\\x=\dfrac{π}{2}+kπ\end{array}\right.\ (k\in Z)$