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sin t + sin 4t + sin 7t = 0 in (0, pi)

The same question, asked 2 times: 10 May 2024 S1, 20 Apr 2025 S2. Every wording below, oldest first.

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  1. Question 1

    10 May 2024 S1

    123
    Number of solutions of sin⁡θ+sin⁡4θ+sin⁡7θ=0,  θ∈(0,π)\sin\theta+\sin4\theta+\sin7\theta=0,\;\theta\in(0,\pi)

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  2. Question 2

    20 Apr 2025 S2

    117
    The possible values of θ∈(0,π)\theta\in (0,\pi) such that sin⁡θ+sin⁡(4θ)+sin⁡(7θ)=0\sin\theta+ \sin(4\theta) + \sin(7\theta) = 0 are

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