Question

In Δ ABC, if tan A + tan B + tan C = 6 and tan A tan B = 2 then tan C = ______.

विकल्प

• 3

• 4

• 1

• 2

Answer 1

In Δ ABC, if tan A + tan B + tan C = 6 and tan A tan B = 2 then tan C = 3.

Explanation:

We have, tan A + tan B + tan C = 6

⇒ tan A tan B tan C = 6    ...(i)

and tan A·tan B = 2    ...(ii)

From Eqs. (i) and (ii) we get, tan C = 3