[tex]PT\Leftrightarrow \frac{\sqrt{2}}{2}sin(x-\frac{\pi}{3})+\frac{\sqrt{2}}{2}cos(x-\frac{\pi}{3})=\frac{1}{2}\\\Leftrightarrow sin(x-\frac{\pi}{3}+\frac{\pi}{4})=\frac{1}{2}\\\Leftrightarrow sin(x-\frac{\pi}{12})=\frac{1}{2}\\\Leftrightarrow ...[/tex]