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Question
In Δ ABC, if tan A + tan B + tan C = 6 and tan A tan B = 2 then tan C = ______.
Options
3
4
1
2
MCQ
Fill in the Blanks
Solution
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
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Trigonometric Functions of Sum and Difference of Angles
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