if a + b + C is equal to 180 degrees then tan A + tan b + tan c equal to
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Answer:
A+B+C=180°
A+B=180°-C
apply tan on both sides
tan(A+B)=tan(180°-C)
tanA+tanB/1-tanA.tanB= -tanC
tanA+tanB= -tanC(1-tanA.tanB)
tanA+tanB= -tanC+tanA.tanB.tanC
tanA+tanB+tanC=tanA.tanB.tanC
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