Given sin(α)=35\sin(\alpha) = \frac{3}{5}sin(α)=53 and cos(β)=513\cos(\beta) = \frac{5}{13}cos(β)=135 (both in quadrant I), find sin(α+β)\sin(\alpha + \beta)sin(α+β).
5665\frac{56}{65}6556
6365\frac{63}{65}6563
0.8610.8610.861
0.9690.9690.969