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The value of $\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ} \dots \tan 89^{\circ}$ is

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Correct option is A

We have, tan⁡89∘=tan⁡90∘−1∘=cot⁡1∘tan⁡88∘=tan⁡90∘−2∘=cot⁡2∘etc∴ tan⁡1∘tan⁡2∘tan⁡3∘…tan⁡88∘tan⁡89∘=tan⁡1∘tan⁡2∘…tan⁡45∘cot⁡44∘cot⁡43∘…cot⁡2∘cot⁡1∘=1

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The value of tan⁡1∘tan⁡2∘tan⁡3∘…tan⁡89∘ is

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The value of $\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ} \dots \tan 89^{\circ}$ is