x=-7-2y;
(-7-2y)*y=6;
-7y-2y^2=6;
2y^2+7y+6=0;
D=49-4*12=1;
y_1,2=(-7+-1)/4;
y_1=-2;y_2=-3/2;
x_1=6/(-2)=-3; x_2=6/(-3/2)=-4
Отв.(-3;-2);(-4;-3/2).
Sin^2 x–2cos x*sin x+cos^2 x=1 / cos^2 x
sin^2 x/cos^2 x –2cos x*sin x/cos^2 x +cos^2 x/cos^2 x=1
tg^2 x - 2tg x + 1 - 1 = 0
Вводим новую переменную: tg x = y
y^2 - 2y =0
y(y - 2) = 0
y1=0 или y-2 = 0
y2=2
tg x = 0
x = arctg 0 +πk
x = πk
tg x = 2
x=arctg 2 + πk
Ответ: x = πk; x=arctg 2 + πk