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Question: Answered & Verified by Expert
In ΔABC , if tan A + tan B + tan C = 6 and tan A.tan B = 2 then tan C = ……
MathematicsTrigonometric Ratios & IdentitiesMHT CETMHT CET 2019 (Shift 2)
Options:
  • A 3
  • B 4
  • C 1
  • D 2
Solution:
1176 Upvotes Verified Answer
The correct answer is: 3
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

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