Question

Dados Tg a = 2/3 e Tg b = 3/4. Qual o valor da Tg(a+b) ?

Answer 1

Explicação passo-a-passo:

tg(a + b) = tg a + tg b

1 - tg a . tg b

tg(a + b) = 2/3 + 3/4

1 - 2/3 . 3/4

2 + 3

tg(a + b) = 3 4

1 - 2 . 3

3 4

8 + 9

tg(a + b) = 12

1 - 6

12

17

tg(a + b) = 12

6

12

tg(a + b) = 17 . 12

12 . 6

tg(a + b) = 17

6

Answer 2

Vamos là.

formula:

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

tg(a + b) = (2/3 + 3/4)/(1 - 2/3*3/4)

tg(a + b) = (17/12)/(1/2) = 34/12 = 17/6