Sin2x-2*3^ (1/2) sin^2x+4cosx-4*3^ (1/2) sinx=0

sin2x-2*3^ (1/2) sin^2x+4cosx-4*3^ (1/2) sinx=0sin2x-2sqrt3*sin^2 x+4cosx-4sqrt3*sinx=02sinxcosx-2sqrt3*sin^2 x+4cosx-4sqrt3*sinx=0 |: 2sinxcosx-sqrt3*sin^2 x+2cosx-2sqrt3*sinx=0sinx (cosx-sqrt3*sinx)+2 (cosx-sqrt3*sinx)=0 (sinx+2) (cosx-sqrt3*sinx)=0sinx+2=0sinx=-2 — не подходит, т.к. <-1cosx-sqrt3*sinx=0 |: cosx; cosx не равен 01-sqrt3*tgx=0sqrt3*tgx=1tgx=1/sqrt3x=p/6+pk; k принадлежит Z