Question

Qual é o valor da tangente de π/4 +π/3? A tabela é essa.

Answer 1

$tg(\frac{\pi}{4})=1\\ tg(\frac{\pi}{3})=\sqrt3\\ \\ tg(a+b)=\frac{tg(a)+tg(b)}{1-tg(a).tg(b)}\\ \\ Logo:\\ \\ tg(\frac{\pi}{4}+\frac{\pi}{3})=\frac{tg(\frac{\pi}{4})+tg(\frac{\pi}{3})}{1-tg(\frac{\pi}{4}).tg(\frac{\pi}{3})}=\frac{1+\sqrt3}{1-1.\sqrt3}=\frac{1+\sqrt3}{1-\sqrt3}$