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
Ajutorr e urgent!!!

Answer 1

a)BC^2=AC^2+AB^2

BC^2=256+144=400

BC=20

sinB=AC/BC=16/20=4/5

sinC=AB/BC=12/20=3/5

cosB=AB/BC=3/5

cosC=AC/BC=4/5

tgB=AC/AB=16/12=4/3

tgC=AB/AC=12/16=3/4

ctgB=AB/AC=3/4

ctgC=AC/AB=4/3

b)AC^2=BC^2-AB^2

AC^2=(30-18)(30+18)

AC^2=12×48=2^2×3×2^4×3

AC=24

sinB=AC/BC=24/30=4/5

sinC=AB/BC=18/30=3/5

cosB=AB/BC=3/5

cosC=AC/BC=4/5

tgB=AC/AB=24/18=4/3

tgC=AB/AC=3/4

ctgB=AB/AC=3/4

ctgC=AC/AB=4/3