Прошу вас помогите!срочно надо (

Решите задачу:

$sinx\cdot cos2x+cosx\cdot sin2x=\frac{\sqrt2}{2}\\\\sin3x=\frac{\sqrt2}{2}\\\\3x= \left [ {{\frac{\pi}{4}+2\pi n,\; n\in Z} \atop {\frac{3\pi}{4}+2\pi n,\; n\in Z}} \right. \; ,\; \; x= \left [ {{\frac{\pi}{12}+\frac{2\pi n}{3},\; n\in Z} \atop {\frac{\pi}{4}+\frac{2\pi n}{3},\; n\in Z}} \right. \; \; x=\left [ {{15^\circ +120^\circ n,\; n\in Z} \atop {45^\circ +120^\circ n,\; n\in Z}} \right. \\\\x\in (20^\circ ,70^\circ ):\; \; x=15^\circ , \; x=45^\circ \; .$