Question

$1-3cos^{2}x = 2sinxcosx$

Answer 1

$1-3cos^2x=2, sinx, cosx\\sin^2x+cos^2x-3cos^2x=2sinx, cosx\\sin^2x-2, sinx, cosx-2cos^2x=0, |:cos^2xne 0\\tg^2x-2, tgx-2=0\\D/4=1+2=3; ,; ; tgx=1pm sqrt3\\tgx=1-sqrt3; ,; ; x=arctg(1-sqrt3)+pi n; ,; nin Z\\tgx=1+sqrt3; ,; ; x=arctg(1+sqrt3)+pi k; ,; kin Z$