Question

Se consideră triunghiul ABC cu unghiul A=90°,AB=6cm,BC=10cm și CA=8cm.Calvulati: sin B,sinC,cosB,cosC,ctgB,tgC,tgB,ctgC​

Answer 1

Explicație pas cu pas:

A = 90°; AB = 6cm; BC = 10cm; CA = 8cm

$sinB = \frac{AC}{BC} = \frac{8}{10} = \frac{4}{5}$

$sinC = \frac{AB}{BC} = \frac{6}{10} = \frac{3}{5}$

$cosB = \frac{AB}{BC} = \frac{6}{10} = \frac{3}{5}$

$cosC = \frac{AC}{BC} = \frac{8}{10} = \frac{4}{5}$

$ctgB = \frac{AB}{AC} = \frac{6}{8} = \frac{3}{4}$

$tgC = \frac{AB}{AC} = \frac{6}{8} = \frac{3}{4}$

$tgB = \frac{AC}{AB} = \frac{8}{6} = \frac{4}{3}$

$ctgC = \frac{AC}{AB} = \frac{8}{6} = \frac{4}{3}$