Question

Se considera triunghiul ABC dreptunghic in A. Demonstrati ca au loc relatiile:
a) sinB+cosB=sinC+cosC
b) cosB+cisC=sinB+cosC
c) tgB+tgC=ctgB+ctgC
URGENTTT! VA ROG! ​

Answer 1

Răspuns:

$a) sinB+cosB=sinC+cosC$

$\frac{AC}{BC}+\frac{AB}{BC}=\frac{AB}{BC}+\frac{AC}{BC}$ "Adevarat"

$b) cosB+sinC=sinB+sinC$

$\frac{AB}{BC}+\frac{AC}{BC}=\frac{AC}{BC}+\frac{AB}{BC}$ "Adevarat"

$c) tgB+tgC=ctgB+ctgC$

$\frac{AC}{AB}+\frac{AB}{AC}=\frac{AB}{AC}+\frac{AC}{AB}$"Adevarat"

Am lucrat in triunghiul din imagine: