Question

корень2-2sin(5x-п/3)=0
помогите срочно надо

Answer 1

$displaystyle sqrt{2}-2sin(5x- frac{ pi }{3})=0\\2sin(5x- frac{ pi }{3})= sqrt{2}\\sin(5x- frac{ pi }{3})= frac{ sqrt{2}}{2}\\5x- frac{ pi }{3}=(-1)^narcsin frac{ sqrt{2}}{2}+ pi n; nin Z\\ left { {{5x- frac{ pi }{3}= frac{ pi }{4}+2 pi n; nin Z} atop {5x- frac{ pi }{3}= frac{3 pi }{4}+2 pi n; nin Z}} right.\\ left { {{5x= frac{7 pi }{12}+2 pi n; nin Z} atop {5x= frac{13 pi }{12}+2 pi n; nin Z}} right.$

$displaystyle left { {{x= frac{7 pi }{60}+ frac{ 2 pi n}{5}; nin Z} atop {x= frac{13 pi }{60}+ frac{2 pi n}{5}; nin Z}} right.$