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TrigonometryMediumSum, Difference, and Multiple-Angle Formulas

Sum, Difference, and Multiple-Angle Formulas · Medium problem

Given sin⁡α=817\sin\alpha=\tfrac{8}{17} with α\alpha in Quadrant I and sin⁡β=35\sin\beta=\tfrac35 with β\beta in Quadrant II, find sin⁡(α−β)\sin(\alpha-\beta).