Question

Se considera triunghiul dreptunghi ABC ,m ( ungiului A)=90°.Daca AB=9 CM SI Bc=15 cm calculati AC,sinB ,conB,tgC,ctgC.

Answer 1

AC=12 (9,12,15 numere pitagorice)
sin B=AC/BC=12/15=4/5
cosB=AB/BC=9/15=3/5
tgC=AB/AC=9/12=3/4
ctgC=AC/AB=12/9=4/3

Answer 2

In ΔABC;m(A)=90⇒teorema lui Pitagora AC↑2+AB↑2=BC↑2⇔
⇔AC↑2=225-81=144⇒AC=12 cm
sin B=AC/BC=12/15=4/5
cos B=AB/BC=9/15=3/5
tg C=12/9=4/3
ctg C=9/12=3/4