Answer :

tan 1° tan 2° tan 3°… tan 89°


= tan 1° tan 2° … tan 45° tan (90-44°) tan(90-43°)…tan (90-1°)


= tan 1°tan 2° … tan 45°cot 44°cot 43°…cot 1° [tan (90-θ)=cot θ]


= tan 1° cot 1° tan 2° cot 2°…tan45°… tan 89° cot 89°


=1.1….1 = 1

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