Question

simplifique as expressoes: cotgx.cosx-secx/tgx

Answer 1

cotg(x)=cos(x)/sen(x) sec(x)=1/cos(x) tg(x)=sen(x)/cos(x) Daí : (cos(x)/sen(x))*cos(x)-(1/cos(x)/sen(x)/cos(x)) (cos^2(x)/sen(x))-1/sen(x) (cos^2(x)-1)/sen(x) Mas cos^2(x)-1 =-sen^2(x).Então : -sen^2(x)/sen(x)= -sen(x)