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Question

Prove that: tan3Atan2AtanA=tan3Atan2AtanA

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Solution

Given: tan3Atan2AtanA=tan3Atan2AtanA

Rearranging the given relation, we have to prove that

tanA+tan2A=tan3A(1tanAtan2A)

tanA+tan2A1tanAtan2A=tan3A

tan(A+2A)=tan3A ......which is true

Hence proved.

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