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tan A given: evaluate (3 sin A + 2 cos A)/(3 sin A - 2 cos A) or its reciprocal

The same question, asked 2 times: 26 Jul 2023 S3*, 10 Sep 2024 S2. Every wording below, oldest first.

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  1. Question 1

    26 Jul 2023 S3

    58
    If tan⁡A=38\tan A = \frac{3}{8}, then the value of 3sin⁡A+2cos⁡A3sin⁡A−2cos⁡A\frac{3\sin A + 2\cos A}{3\sin A - 2\cos A} is:

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  2. Question 2

    10 Sep 2024 S2

    60
    If 2tan⁡θ=32 \tan \theta = 3, then 3sin⁡θ−2cos⁡θ3sin⁡θ+2cos⁡θ\frac{3 \sin \theta - 2 \cos \theta}{3 \sin \theta + 2 \cos \theta} is equal to:

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