Question

Решите уравнение 6 sin^2 x + sin x cos x - cos^2 x=0

Answer 1

6sin²x+sinxcosx-cos²x=0
6tg²x+tgx-1=0
tgx=a
6a²+a-1=0
D=25
a=-1/2; a=1/3
tgx=-1/2                          tgx=1/3
x=-arctg1/2+πn               x=arctg1/3+πn