Question

1)3sin^2x-4sinxcosx+2cos^2x=0 2)sin^2x-9sinxcosx+3cos^2x=-1

Answer 1

1)3sin²x-4sinxcosx+2cos²x=0/cos²x≠0
3tg²x-4tgx+2=0
tgx=a
3a²-4+2=0
D=16-24=-8<0
нет решения
2)sin²x-9sinxcosx+3cos²x+sin²x+cos²x=0/cos²x≠0
2tg²x-9tgx+4=0
tgx=a
2a²-9a+4=0
D=81-32=49
a1=(9-7)/4=1/2⇒tgx=1/2⇒x=arctg1/2+πn
a2=(9+7)/4=4⇒tgx=4⇒x=arctg4+πn