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Value of tan 1 x tan 2 x tan 3 x ... x tan 89 degrees

The same question, asked 2 times: CDS 2 2016, CDS 2 2019. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2016

    85
    What is the value of tan⁡1∘tan⁡2∘tan⁡3∘tan⁡4∘…tan⁡89∘\tan 1^\circ \tan 2^\circ \tan 3^\circ \tan 4^\circ \ldots \tan 89^\circ ?

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  2. Question 2

    CDS 2 2019

    55
    What is the value of tan⁡1∘tan⁡2∘tan⁡3∘………tan⁡89∘\tan 1^\circ \tan 2^\circ \tan 3^\circ \ldots\ldots\ldots \tan 89^\circ ?

    Tap an option to check your answer.