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cot^-1(sqrt(cos a)) - tan^-1(sqrt(cos a)) = x: find sin x

The same question, asked 2 times: 15 May 2023 S2, 26 Apr 2025 S2. Every wording below, oldest first.

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  1. Question 1

    15 May 2023 S2

    132
    If cot⁡−1(cos⁡α)−tan⁡−1(cos⁡α)=x\cot^{-1}(\sqrt{\cos\alpha})-\tan^{-1}(\sqrt{\cos\alpha})=x, then the value of sin⁡x\sin x is

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  2. Question 2

    26 Apr 2025 S2

    114
    If cot⁡−1(cos⁡α)−tan⁡−1(cos⁡α)=x\cot^{- 1}(\sqrt{\cos\alpha}) -\tan^{- 1}(\sqrt{\cos\alpha}) =x, then the value of sin⁡x\sin x is

    Tap an option to check your answer.