Verified answer

1) tg30*cos30*sin30*tg45*tg30=(1/√3) *( √3/2) * (1/2)*1*(1/√3)=1/(4√3)

2) cos^2(30)*sin^2(30)-cos^2(60)-sin^2(60)+cos^(45)+sin^(45)=(√3/2)^2*(1/2)^2-(1/2)^2-(√3/2)^2+(1/√2)^2+(1/√2)^2=(3/4)*(1/4)-(1/4)-(3/4)+(1/2)+(1/2)=3/16