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Dear student,tanπ24tan3π24tan5π24tan7π24tan9π24tan11π24tan16π24tan A=cot(90°-A)tanπ24=cotπ2-π24=cot11π24tan3π24=cotπ2-3π24=cot9π24tan5π24=cotπ2-5π24=cot7π24cot11π24cot9π24cot7π24tan7π24tan9π24tan11π24tan16π24=cot7π24tan7π24cot9π24tan9π24cot11π24tan11π24tan16π24we know that, tan A×cot A=1=1×1×1×tan16π24=tan16π24=tan4π3=tanπ+π3=tan π3=3Regards

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