Question

2cos²x-3sinxcosx+sin²x=0

Answer 1

/cos^2x =
$frac{2cos ^{2}x }{cos ^{2}x} - 3 frac{sinx*cosx}{ cos^{2}x }+ frac{ sin^{2}x }{cos^{2}x}=0 \2-3tgx+tg ^{2}x=0$
tgx=p
2-3p+p^2=0
p1+p2=3
p1p2=2
p1=2
p2=1
tgx1=1
tgx2=2
x1=arctg(1)
x2=arctg(2)