Question

2cos^2(x-3pi/2)-sin(x-pi)=0 решите плиз!

Answer 1

$2cos^2(x- frac{3 pi }{2} )-sin(x- pi )=0 \ 2sin^2x+sinx=0 \ sinx(2sinx+1)=0 \ \ sinx=0 \ x= pi k \ \ 2sinx+1=0 \ 2sinx=-1 \ sinx=- frac{1}{2} \ x= frac{3 pi }{2} pm frac{pi }{3} +2 pi k= left { {{ frac{7 pi }{6}+2 pi k } atop { frac{11 pi }{ 6} +2 pi k}} right.$