Ako je tgx+ctgx+1tg2x+ctg2x+2=49\frac{\operatorname{tg}x + \operatorname{ctg}x + 1}{\operatorname{tg}^2 x + \operatorname{ctg}^2 x + 2} = \frac{4}{9}, odredi sinxcosx\sin x \cos x.