`2sin(4x-π/3)=1`
`<=>sin(4x-π/3)=1/2`
`<=>`\(\left[ \begin{array}{l}4x-\dfrac{π}{3}=\dfrac{π}{6}+k2π\\4x-\dfrac{π}{3}=\dfrac{5π}{6}+k2π\end{array} \right.\)
`<=>`\(\left[ \begin{array}{l}x=\dfrac{π}{8}+k\dfrac{π}{2}\\x=\dfrac{7π}{24}+k\dfrac{π}{2}\end{array} \right.\)
`=>C`