Question

Dau coroana!
In tabelul de mai jos sunt elementele unui triunghi ABC, masura unghiului A=90°. Completati tabelul stiind ca dimensiunile segmentelor sunt masurate in centimetri.

a) AB=12 si AC=16. Aflati BC, sin B, sin C, cos B, cos C, tg B, tg C, ctg B, ctg C

b) AB=18 si BC=30. Aflati AC, BC, sin B, sin C, cos B, cos C, tg B, tg C, ctg B, ctg C

c)AC=21 si BC=35. Aflati AB,BC, sin B, sin C, cos B, cos C, tg B, tg C, ctg B, ctg C

d) AB=24 si AC=32. Aflati BC,BC, sin B, sin C, cos B, cos C, tg B, tg C, ctg B, ctg C

e)AC=27 si BC=45. Aflati AB, BC, sin B, sin C, cos B, cos C, tg B, tg C, ctg B, ctg C

f)AB=30 si BC=50. Aflati AC, BC, sin B, sin C, cos B, cos C, tg B, tg C, ctg B, ctg C

Answer 1

Pentru aflarea celei de a 3a laturi se foloseste Pitagora. (AB^2+AC^2=BC^2)
Sin B= AC/BC
Sin C= AB/BC
cos B= AB/BC
cos C= AC/BC
Tg B= AC/AB
Tg C= AB/AC
ctg B= AB/AC
ctg C= AC/AB