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Sine Sum Identity

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If α\alpha and β\beta are angles in Quadrant I such that sin(α)=35\sin(\alpha)=\frac{3}{5} and cos(β)=513\cos(\beta)=\frac{5}{13}, what is the value of sin(α+β)\sin(\alpha+\beta)?

A

165\frac{1}{65}

B

4865\frac{48}{65}

C

6365\frac{63}{65}

D

1565\frac{15}{65}

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