1) 2sin^2x + 3sinx= 2 2) tg^2x - 4tgx + 3= 0 3)2 cos^2x - 5cosx = 3 4)2sin^2x+sunx=0 5)6sin^2x - 2sin2x=1 6)sin^2x - cos^2x= [latex] \sqrt{2}/2[/latex] 7)4sinx*cosx=[latex] \sqrt{3} [/latex] 8)cos^4x - sin^4x=1

Question

1) 2sin^2x + 3sinx= 2 2) tg^2x - 4tgx + 3= 0 3)2 cos^2x - 5cosx = 3 4)2sin^2x+sunx=0 5)6sin^2x - 2sin2x=1 6)sin^2x - cos^2x= [latex] \sqrt{2}/2[/latex] 7)4sinx*cosx=[latex] \sqrt{3} [/latex] 8)cos^4x - sin^4x=1

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Accepted Answer

7) 4sinx*cosx=√3 2*(2sinx*cosx)=√3 2sin2x=√3 sin 2x=√3/2 2x₁=π/3+2πk, k∈Z 2x₂=2π/3+2πk, k∈Z x₁=π/6+πk, k∈Z x₂=π/3+πk, k∈Z