A B C D is a cyclic quadrilateral with circumcenter O and circumradius 7. A B intersects C D at E, D A intersects C B at F . O E=13, O F=14. Let \cos \angle F O E=\frac{p}{q}, with p, q coprime. Find p+q.
A B C D is a cyclic quadrilateral with circumcenter O and circumradius 7. A B intersects C D at E, D A intersects C B at F . O E=13, O F=14. Let \cos \angle F O E=\frac{p}{q}, with p, q coprime. Find p+q.