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8 sin t - cos t = 4: find sin t (or cosec t)

The same question, asked 2 times: CDS 2 2025, CDS 2 2026. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2025

    32
    If 8sin⁡θ−cos⁡θ=48\sin\theta - \cos\theta = 4, where 0<θ<π/20 < \theta < \pi/2, then what is cosec θ\mathrm{cosec}\,\theta equal to?

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  2. Question 2

    CDS 2 2026

    43
    If 8sin⁡θ−cos⁡θ=48\sin\theta - \cos\theta = 4, where π6<θ<π3\frac{\pi}{6} < \theta < \frac{\pi}{3}, then what is sin⁡θ\sin\theta equal to ?

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