Ruminants have microorganisms in their rumen that synthesize Vitamin B complex. This symbiotic relationship allows ruminants to meet their Vitamin B requirements naturally.
Match List-I with List-II.\[\begin{array}{|c|c|} \hline \text{List-I (Animal)} & \text{List-II (Breed)} \\ \hline \text{(A) Buffalo} & \text{(I) Sunandini} \\ \hline \text{(B) Cow} & \text{(II) White Leghorn} \\ \hline \text{(C) Poultry} & \text{(III) Toggenburg} \\ \hline \text{(D) Goat} & \text{(IV) Nili-Ravi} \\ \hline \end{array}\]Choose the correct answer from the options given below:
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 $\sin 2\theta$. 