Question

3sin2x-4sinx*cosx+cos2x=0

Answer 1

3sin2x - 4sinxcosx + cos2x = 0
3sin2x - 2sin2x + cos2x = 0
sin2x + cos2x=0 |:cos2x
tg2x + 1 = 0
tg2x = -1
2x = -π/4 + πk,k ∈ Z
x = -π/8 + πk/2, k ∈ Z