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Trigonometrymedium
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Given sin⁡(α)=35\sin(\alpha) = \frac{3}{5}sin(α)=53​ and cos⁡(β)=513\cos(\beta) = \frac{5}{13}cos(β)=135​, where α\alphaα and β\betaβ are in the first quadrant, what is the exact value of sin⁡(α+β)\sin(\alpha + \beta)sin(α+β)?