Question

se tg(x+y)=2 e tg y=1 calcule tg x

Answer 1

Vamos lá:

$tg (x + y) = \frac{tg x + tg y}{1 - tgx.tgy} = 2 \\\\ tg y = 1 \\\\ \frac{tg x + 1}{1 - tg x.1} = 2 \\\\ tg x + 1 = 2(1 - tg x) \\\ tg x + 1 = 2 - 2tg x \\\ tg x + 2tg x = 2 - 1 \\\\ 3tg x = 1 \\\ tg x = \frac{1}{3}$

Espero ter ajudado.