In a triangle $$tanA+tanB+tanC=6and$$ tanA $$tanB=2$$.Then the values of tanA,tanB and tanC are

Question

In a triangle $$tanA+tanB+tanC=6and$$ tanA $$tanB=2$$.Then the values of tanA,tanB and tanC are

Infinity Learn · Accepted Answer

Since $$A+B+C=$$π in triangle ABC, we have⇒$$tanA+tanB+tanC=tanA$$ tanB tanC⇒                     $$6=2tanC$$⇒                                $$tanC=3$$                   ∴ $$tanA+tanB=3$$, tanA $$tanB=2$$⇒                              $$tanA=1$$ (or) $$2$$                       and $$tanB=2$$ (or) $$1$$

In a triangle $\tan A + \tan B + \tan C = 6$ and $\tan A \tan B = 2$ .
Then the values of $\tan A, \tan B a n d \tan C a r e$

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In a triangle tanA+tanB+tanC=6and tanA tanB=2.Then the values of tanA,tanB and tanC are

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In a triangle $\tan A + \tan B + \tan C = 6$ and $\tan A \tan B = 2$ .
Then the values of $\tan A, \tan B a n d \tan C a r e$