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cot A = x + 1/x: find cosec^2 A

The same question, asked 3 times: 17 Sep 2025 S3, 18 Sep 2025 S1, 21 Sep 2025 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    17 Sep 2025 S3

    72
    If cot⁡A=x+1x\cot A = x + \frac{1}{x}, find cosec2A\text{cosec}^2 A.

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  2. Question 2

    18 Sep 2025 S1

    73
    If cot⁡A=x+1x\cot A = x + \frac{1}{x}, find csc⁡2A\csc^2 A.

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  3. Question 3

    21 Sep 2025 S2

    67
    If cot⁡A=x+1x\cot A = x + \frac{1}{x}, then what is cosec2A\text{cosec}^2 A?

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