Cyclic quadrilateral A B C D has side lengths A B=2, B C=3, C D=5, A D=4. Find \sin A \sin B\left(\cot \frac{A}{2}+\cot \frac{B}{2}+\cot \frac{C}{2}+\cot \frac{D}{2}\right)^{2}. Your answer can be written in simplest form as a / b. Find a+b.
Cyclic quadrilateral A B C D has side lengths A B=2, B C=3, C D=5, A D=4. Find \sin A \sin B\left(\cot \frac{A}{2}+\cot \frac{B}{2}+\cot \frac{C}{2}+\cot \frac{D}{2}\right)^{2}. Your answer can be written in simplest form as a / b. Find a+b.