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Question

tanπ10+tan3π10+tan7π10+tan9π10=?

A
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Solution

The correct option is A 0
tanπ10+tan3π10+tan7π10+tan9π10=tanπ10+tan3π10+tan(π3π10)+tan(ππ10)

=tanπ10+tan3π10tan3π10tanπ10 (tan(πθ)=tanθ)

=0

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