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MHT CET · Maths · Trigonometric Ratios & Identities

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

  1. A 3
  2. B 4
  3. C 1
  4. D 2
Verified Solution

Answer & Solution

Correct Answer

(A) 3

Step-by-step Solution

Detailed explanation

Key Idea Use Identity . In ΔABC
tanA+tanB+tanC=tanAtanBtanC
We have, tan A + tan B + tan C = 6
tanAtanBtanC=6 ….(i)
and tan A. tan B = 2 …..(ii)
From Eqs. (i) and (ii) we get, tanC =3