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Question

Prove that tan7αtan5αtan2α=tan7α.tan5α.tan2α

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Solution

tan7αtan5αtan2α
tan7αtan5αtan7αtan5α1+tan7αtan5α
(tan7αtan5α)(1+tan7αtan5α11+tan7αtan5α)
(tan7αtan5α)(tan7αtan5α1+tan7αtan5α)
tan7αtan5αtan2α
hence proved.

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