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(1 + cot a - cosec a)(1 + tan a + sec a)

The same question, asked 2 times: CDS 1 2021, CDS 1 2025. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2021

    57
    What is (1+cot⁡θ−cosec⁡θ)(1+tan⁡θ+sec⁡θ)(1 + \cot\theta - \operatorname{cosec}\theta)(1 + \tan\theta + \sec\theta) equal to?

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  2. Question 2

    CDS 1 2025

    32
    What is (1+cot⁡α−cosec⁡α)(1+tan⁡α+sec⁡α)(1 + \cot\alpha - \operatorname{cosec}\alpha)(1 + \tan\alpha + \sec\alpha) equal to ?

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