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sin x = cos(ax + b) with both acute: find x

The same question, asked 4 times: 23 Sep 2025 S2*, 23 Sep 2025 S3*, 24 Sep 2025 S3*, 26 Sep 2025 S1. Every wording below, oldest first.

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  1. Question 1

    23 Sep 2025 S2

    72
    If sin⁡x=cos⁡(x+20∘)\sin x = \cos(x + 20^\circ), then what is the value of x?

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  2. Question 2

    23 Sep 2025 S3

    70
    If sin⁡x=cos⁡(2x−10∘)\sin x = \cos(2x - 10^\circ), find the value of x.

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  3. Question 3

    24 Sep 2025 S3

    72
    If sin⁡(x)=cos⁡(3x−30∘)\sin(x) = \cos(3x - 30^\circ), what is the value of xx?

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  4. Question 4

    26 Sep 2025 S1

    67
    If sin⁡x=cos⁡(3x−20∘)\sin x = \cos(3x - 20^\circ), what is the value of xx?

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