Решить уравнения.
1) (3-4sin x) (3+4 cos x)=0
2) (tg x+3((tg+1)=0
3) sin 2x=3 sin x cos(квадрат)x
4) sin 4x = sin 2x

1) (3-4sinx)(3+4cosx)=0sinx=3/4x=(-1)^k*arcsin3/4+πkcosx=-3/4x=±arccos(-3/4)+2πn2) (tgx+3)(tgx+1)=0tgx+3=0tgx=-3x=-arctg3+πn, n € Ztgx+1=0tgx=-1x=arctg(-1)+πnx=-π/4+πn, n € Z.3)sin2x=3sinx*cos²x2sinx*cosx-3sinx*cos²x=0sinx*cosx(2-3cosx)=0sinx=0x=πn, n € Zcosx=0x=π/2+πn, n € Zcosx=2/3x=±arccos2/3+πn, n € Z4)sin4x-sin2x=02sin2x*cos2x-sin2x=0sin2x(2cos2x-1)=0sin2x=02x=πk, k € Zx=πk/2, k € Zcos2x=1/22x=±π/3+2πn, n € Zx=±π/6+πn, n € Z