Тригонометрия sin[latex] \frac{x}{3}cos \frac{p}{5}-cos \frac{x}{3}sin \frac{p}{5}= \frac{\sqrt{2} }{2} [/latex]

[latex]sin(\frac{x}{3}-\frac{\pi}{5})=\frac{\sqrt{2}}{2}[/latex] 1) [latex]\frac{x}{3}-\frac{\pi}{5}=\frac{ \pi }{4}+2 \pi k[/latex] [latex]\frac{x}{3}=\frac{\pi}{4}+\frac{\pi}{5}+2 \pi k[/latex] [latex]\frac{x}{3}=\frac{9\pi}{20}+2 \pi k[/latex] [latex]x=\frac{27\pi}{20}+6 \pi k[/latex] 2) [latex]\frac{x}{3}-\frac{\pi}{5}=\frac{3\pi }{4}+2 \pi k[/latex] [latex]\frac{x}{3}=\frac{3\pi }{4}+\frac{\pi}{5}+2 \pi k[/latex] [latex]\frac{x}{3}=\frac{19\pi }{20}+2 \pi k[/latex] [latex]x=\frac{57\pi }{20}+6 \pi k[/latex]