Question

Уравнение
6sin^2x=5sinxcosx -cos^2x

Answer 1

6sin^2x-5sinxcosx+cos^2x=0
6sin^2x/cos^2x-(5sinxcosx/cos^2x)+cos^2x/cos^2x=0
6tg^2x-5tgx+1=0
tgx=t
6t^2-5t+1=0
D=25-24=1
x1=1/3 x2=1/2
tgx=1/3 x=arctg1/3
tgx=1/2. x=arctg1/2