Sin(5/3x+pi/4)=-корень из 3/2

sin(5x/3+Π/4)=-√3/2;5x/3+Π/4=(-1)^(k+1)*Π/3+Πk;5x/3=(-1)^(k+1*Π/3-Π/4+Πk;x=(-1)^(k+1)*Π/5-3Π/20+3Πk/5, kєz

[latex]sin( frac{5}{3}x+ frac{ pi }{4})= frac{ sqrt{3} }{2} \ \ sin( frac{5}{3}x+ frac{ pi }{4})=sin frac{ pi }{3} \ \ frac{5}{3}x+ frac{ pi }{4}= frac{ pi }{3} \ \ frac{5}{3}x= frac{ pi }{12} \ \ x= frac{ pi }{12} * frac{3}{5} \ x= frac{ pi }{20} [/latex]