Math, asked by Swatibisoi, 11 months ago

given that A=B+C, prove that tanA-tanB-tanC= tanA tanB tanC​

Answers

Answered by vyshu625676
2

Answer:

take sum of ABC equals to 180 and then solve

Step-by-step explanation:

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Answered by sharansuryas2s
2

To prove:

If A=B+C, prove that tanA-tanB-tanC= tanA tanB tanC

Proof:

A = B+C

tanA = tan(B+C)

tanA = (tanB+tanC)/1-tanBtanC

tanA(1-tanBtanC) = tanB+tanC

tanA - tanAtanBtanC = tanB+tanC

tanA - tanB - tanC = tanAtanBtanC

Hence the proof

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