Question

sin^2x-4sinx*cosx+3cos^x=0

Answer 1

$sin^2x-4sinxcosx+3cos^2x=0, |:cos^2xne 0\\tg^2x-4tgx+3=0; to \\tgx=1; ; ili; ; tgx=3; ; (teorema; ; Vieta)\\x=frac{pi}{4}+pi n,; nin Z\\x=arctg3+pi k,; kin Z$