Given sin(θ)=14\sin(\theta) = \frac{1}{4}sin(θ)=41 for θ∈(0,π2)\theta \in (0, \frac{\pi}{2})θ∈(0,2π), find the exact value of sin(3θ)\sin(3\theta)sin(3θ).
1116\frac{11}{16}1611
4164\frac{41}{64}6441
18\frac{1}{8}81
34\frac{3}{4}43