cotπ20.cot3π20.cot5π20.cot7π20.cot9π20=

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answer is A.

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Detailed Solution

cotπ20.cot3π20.cot5π20.cot7π20.cot9π20 =(cotπ20.cot9π20)(cot3π20.cot7π20).cot5π20=cotπ20.cotπ2-π20.cot3π20.cotπ2-3π20.cotπ4 =cotπ20.tanπ20.cot3π20.tan3π20.1=1×1×1=1

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