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a sin^2 + b cos^2 = c, acute: find tan

The same question, asked 2 times: 19 Sep 2024 S1*, 24 Sep 2024 S3. Every wording below, oldest first.

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  1. Question 1

    19 Sep 2024 S1

    72
    If 3sin⁡2θ+5cos⁡2θ=43\sin^2\theta + 5\cos^2\theta = 4 and θ\theta is an acute angle, then the value of tan⁡θ\tan\theta is:

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  2. Question 2

    24 Sep 2024 S3

    75
    If 10sin⁡2θ+6cos⁡2θ=7,0<θ<90∘10\sin^2\theta + 6\cos^2\theta = 7, 0 < \theta < 90^\circ, then find the value of tan⁡θ\tan\theta.

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