7*sin^2x+4*sinx*cosx-3*cos^2x=0

Question

7*sin^2x+4*sinx*cosx-3*cos^2x=0

Answer 1

7*sin^2x+4*sinx*cosx-3*cos^2x=0/:cos^2x

7tg^2x+4tgx-3=0

Д=16+84=100

tgx1=-1

tgx2=3/7