Sin^2x-3sinxcosx+2cos^2=0

Question

Sin^2x-3sinxcosx+2cos^2=0

Answer 1

Sin^2x-sinxcosx-2sinxcosx+2cos^2x=0
sinx(sinx-cosx)-2cosx(sinx-cosx)=0
(sinx-cosx)(sinx-2cosx)=0
sinx=cosx  tgx=1
sin=2cosx  tgx=1/2
x=arctg(1/2)+Пk
x=П/4+Пk