[tex]sin60^o\cdot cos30^o+tg 40^o\cdot tg50^o=\\\\\frac{\sqrt3}{2}\cdot\frac{\sqrt3}{2}+tg(90^o-50^o)\cdot tg50^o=\\\\\frac{3}{4}+ctg50^o\cdot tg50^o=\frac{3}{4}+1=1\frac{3}{4}[/tex]
