6cos²x+11cosxsinx+3sin²x=0
(6cos²x+11cosxsinx+3sin²x)/ cos²x =0
6+11tgx+3tg²x=0 tgx=y
3y²+11y+6=0
D=11²-4*3*6=49
y1=(-11+7)/6=-2/3
y2=(-11-7)/6=-3
x=arctg(-2/3)
x=arctg(-3)
6cos²x+11cosxsinx+3sin²x=0
(6cos²x+11cosxsinx+3sin²x)/ cos²x =0
6+11tgx+3tg²x=0 tgx=y
3y²+11y+6=0
D=11²-4*3*6=49
y1=(-11+7)/6=-2/3
y2=(-11-7)/6=-3
x=arctg(-2/3)
x=arctg(-3)