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Tan 1 × Tan 2 × Tan 3......× Tan 87× Tan 88 × Tan 89
→Tan 1 × Tan 2 ×Tan3......cot(90-87)×cot(90-88)×cot(90-89)
→Tan 1 × Tan 2 × Tan3......cot 1 × cot 2 × cot 3
→(Tan 1 × cot 1)×(Tan 2 × cot 2)×(Tan 3 × cot 3)
→(Tan∅×Cot∅= 1)
→1×1×1
→1
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