APFIVE Angle Sum Identity and Consistency
If $$\cos(\alpha + \beta) = \frac{1}{2}$$, $$\cos \alpha = \frac{3}{5}$$, and $$\sin \beta = \frac{4}{5}$$, what is the value of $$\sin \alpha \cos \beta$$?
A
0.5
B
No real value exists; the constraints are inconsistent.
C
1
D
0
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