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Trigonometryhard
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If sin⁡θ+cos⁡θ=15\sin \theta + \cos \theta = \frac{1}{5}sinθ+cosθ=51​ for θ∈[0,π]\theta \in [0, \pi]θ∈[0,π], what is the value of sin⁡(2θ)\sin(2\theta)sin(2θ)?