Given cos(α)=45\cos(\alpha) = \frac{4}{5}cos(α)=54 and cos(β)=1213\cos(\beta) = \frac{12}{13}cos(β)=1312 for acute angles α,β\alpha, \betaα,β, find sin(α−β)\sin(\alpha - \beta)sin(α−β).
1665\frac{16}{65}6516
3365\frac{33}{65}6533
5665\frac{56}{65}6556
1365\frac{13}{65}6513