Using good quality seeds of improved varieties significantly enhances crop yield by ensuring better germination, resistance to pests, and tolerance to environmental conditions. On average, such seeds improve yield by 20-25%.
In the adjoining figure, TP and TQ are tangents drawn to a circle with centre O. If $\angle OPQ = 15^\circ$ and $\angle PTQ = \theta$, then find the value of $\sin 2\theta$. 