1. Jam: A thick spread made by cooking fruit with sugar.
2. Jelly: A clear, firm product made from fruit juice and sugar.
3. Squash: A concentrated fruit drink made by mixing fruit juice, sugar, and preservatives.
4. Fruit candies: Chewy or hard candies made using fruit extracts.
Value-added products increase the shelf life of fruits and enhance their market value.
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 $\sin 2\theta$. 