APFIVE Sine Sum Identity
If $$\alpha$$ and $$\beta$$ are angles in Quadrant I such that $$\sin(\alpha)=\frac{3}{5}$$ and $$\cos(\beta)=\frac{5}{13}$$, what is the value of $$\sin(\alpha+\beta)$$?
A
$$\frac{1}{65}$$
B
$$\frac{63}{65}$$
C
$$\frac{48}{65}$$
D
$$\frac{15}{65}$$
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