Question

Sabendo que: tg a = 1/3 , e tg b = -1/2, calcule: tg(a+b).

Answer 1

Vamos là.

tg(a) = 1/3, tg(b) = -1/2

tg(a + b) = (tg(a) + tg(b))/(1 - tg(a)*tg(b))

tg(a + b) = (1/3 - 1/2)/(1 + 1/3*1/2)

tg(a + b) = (-1/6)/(1 + 1/6)

tg(a + b) = (-1/6)/(7/6) = -1/7