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sin A + cos A = k: find sin^4 A + cos^4 A

The same question, asked 2 times: 17 Sep 2024 S2*, 21 Sep 2025 S1. Every wording below, oldest first.

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  1. Question 1

    17 Sep 2024 S2

    65
    If sin⁡A+cos⁡A=122\sin A + \cos A = \frac{1}{2\sqrt{2}}, then find the value of sin⁡4A+cos⁡4A\sin^4 A + \cos^4 A.

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  2. Question 2

    21 Sep 2025 S1

    68
    If sin⁡A+cos⁡A=1\sin A + \cos A = 1, then find the value of sin⁡4A+cos⁡4A\sin^4 A + \cos^4 A.

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