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tan5 × tan15 × tan45 × tan75 × tan85
= tan5 × tan(90-75) × tan45 × tan75 × tan(90-5)
= tan5 × cot75 × tan75 × cot5 × tan45
= tan5 × cot5 × cot75 × tan75 × tan45
= 1 × 1 × tan45
= tan45
= 1
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