A) [latex]Sinx+ \sqrt{3}Cosx=0[/latex] б) [latex] Sin^{2}x+2Sinx Cosx-3Cos^{2}x=0[/latex] в) [latex]Sin^{2} x - 4SinxCosx+3Cos^{2}x = 0[/latex]

a). sinx+√3cosx=0 |:cosx≠0 tgx+√3=0, tgx=-√3 x=arctg(-√3)+πn, n∈Z x=-π/3+πn, n∈Z б). sin²x+2sinx*cosx-3cos²x=0 |: cos²x≠0 tg²x+2tgx-3=0, tgx=y y²+2y-3=0 y₁=-3,  tgx=-3, x₁=-arctg3+πn, n∈Z y₂=1, tgx=1,    x₂=π/4+πn, n∈Z в). sin²x-4sinx*cosx+3cos²x=0 |: cos²x≠0 tg²x-4tgx+3=0, tgx=y y²-4y+3=0 y₁=1, tgx=1,   x₁=π/4+πn, n∈Z y₂=3, tgx=3,   x₂=arctg3+πn, n∈Z