Problem

Problem

If 0<β<α<π/40 < \beta < \alpha < \pi/4 , cos⁡(α+β)=3/5\cos(\alpha + \beta) = 3/5 and cos⁡(α−β)=4/5\cos(\alpha - \beta) = 4/5 , then evaluate sin⁡2α\sin 2\alpha .

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