If A+C=B,show that tanA,tanB, tanC=tanB-tanA-tanC
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Answer:
if A+C=B
Multiplying tan on both sides,
⇒ tan(A+C)=tanB
⇒ 1−tanAtanCtanA+tanC=tanB
⇒ tanA+tanC=tanB(1−tanAtanC)
⇒ tanA+tanC=tanB−tanAtanBtanC
⇒ tanAtanBtanC=tanB−tanC−tanA
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