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Question

Solve: tan7xtan5xtan2x=tan7xtan5xtan2x.

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Solution

We have,
tan7x=tan(5x+2x)
or, tan7x=tan5x+tan2x1tan5x.tan2x
or, tan7xtan2x.tan5x.tan7x=tan5x+tan2x
or, tan7xtan5xtan2x=tan2x.tan5x.tan7x

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