Question

sin² x-6cos² x - 5sinxcosx=0

Answer 1

$sin^2(x)-6cos^2(x)-5sin(x)cos(x)=0 |:cos^2(x)\ tg^2(x)-6-5tg(x)=0 \ \ 1)tg(x)=6 \ x=arctg(6)+2 pi n \ \ 2)tg(x)=-1 \ x=- frac{ pi }{4} +2 pi n$