Question

ПОМОГИТЕ!!!!     решите уравнение
3cos^2x-2sin2x+sin^2x=0

Answer 1

$3cos^2x-2sin2x+sin^2x=0\\3cos^2x-4sinxcosx+sin^2x=0; |:cos^2xne 0\\tg^2x-4tgx+3=0\\t=tgx,; t^2-4t+3=0,; t_1=1,; t=3\\tgx=1,; x=frac{pi}{4}+pi n,; nin Z\\tgx=3,; x=arctg3+pi k,; kin Z$