Question

Trigonometria : Alguém ??
Quanto vale tg π/18 + tg π/9 dividido por 1-tg π/18 . tg π;9 ?

Answer 1

Lembre-se que:

(Tangente da soma de dois arcos)

$\boxed{\frac{tg \frac{\pi}{18}+tg \frac{\pi}{9}}{1-tg \frac{\pi}{18}.tg \frac{\pi}{9}}=tg(\frac{\pi}{18}+\frac{\pi}{9})=tg \frac{\pi}{6}=\frac{\sqrt3}{3}}$