a) [tex]Sinx+ \sqrt{3}Cosx=0[/tex]

б) [tex] Sin^{2}x+2Sinx Cosx-3Cos^{2}x=0[/tex]

в) [tex]Sin^{2} x - 4SinxCosx+3Cos^{2}x = 0[/tex]

a). sinx+√3cosx=0 |:cosx≠0tgx+√3=0, tgx=-√3x=arctg(-√3)+πn, n∈Zx=-π/3+πn, n∈Zб). sin²x+2sinx*cosx-3cos²x=0 |: cos²x≠0tg²x+2tgx-3=0, tgx=yy²+2y-3=0y₁=-3,  tgx=-3, x₁=-arctg3+πn, n∈Zy₂=1, tgx=1,    x₂=π/4+πn, n∈Zв). sin²x-4sinx*cosx+3cos²x=0 |: cos²x≠0tg²x-4tgx+3=0, tgx=yy²-4y+3=0y₁=1, tgx=1,   x₁=π/4+πn, n∈Zy₂=3, tgx=3,   x₂=arctg3+πn, n∈Z