Ako je tg⁡x+ctg⁡x+1tg⁡2x+ctg⁡2x+2=49\frac{\operatorname{tg}x + \operatorname{ctg}x + 1}{\operatorname{tg}^2 x + \operatorname{ctg}^2 x + 2} = \frac{4}{9}, odredi sin⁡xcos⁡x\sin x \cos x.