Тригонометрия sin

$sin(\frac{x}{3}-\frac{\pi}{5})=\frac{\sqrt{2}}{2}$
1) $\frac{x}{3}-\frac{\pi}{5}=\frac{ \pi }{4}+2 \pi k$
$\frac{x}{3}=\frac{\pi}{4}+\frac{\pi}{5}+2 \pi k$
$\frac{x}{3}=\frac{9\pi}{20}+2 \pi k$
$x=\frac{27\pi}{20}+6 \pi k$

2) $\frac{x}{3}-\frac{\pi}{5}=\frac{3\pi }{4}+2 \pi k$
$\frac{x}{3}=\frac{3\pi }{4}+\frac{\pi}{5}+2 \pi k$
$\frac{x}{3}=\frac{19\pi }{20}+2 \pi k$
$x=\frac{57\pi }{20}+6 \pi k$