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

Options

  1. A3
  2. B4
  3. C1
  4. D2

Correct answer

A. 3

Step-by-step solution

Key Idea Use Identity . In Δ A B C t a n A + t a n B + t a n C = t a n A t a n B t a n C We have, tan A + tan B + tan C = 6 ⇒ t a n A t a n B t a n C = 6 ….(i) and tan A. tan B = 2 …..(ii) From Eqs. (i) and (ii) we get, tanC =3

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