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Given A (15 or 22.5), evaluate an expression in 2A, 3A, 4A

This type of question, asked 2 times: 26 Jul 2023 S4, 24 Sep 2024 S3. All 2 questions below, oldest first.

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  1. Question 1

    26 Jul 2023 S4

    56
    If A=22.5∘A = 22.5^\circ, what is the value of (102sin⁡2A−72cos⁡2A+9tan⁡2A)(10\sqrt{2} \sin 2A - 7\sqrt{2} \cos 2A + 9\tan 2A)?

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  2. Question 2

    24 Sep 2024 S3

    61
    If A=15∘A = 15^\circ, then what is the value of 112cos⁡3A+10sin⁡2A73sin⁡4A\frac{11\sqrt{2}\cos 3A + 10\sin 2A}{7\sqrt{3}\sin 4A}?

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