# Sum of two reciprocals

**Geometry**Level 4

Let ABC be an isosceles triangle where \(AB=AC=1\). D and E are the midpoints of AB and AC respectively. Two lines are projected from points B and C and meet an extended DE at arbitrary points F and G respectively such that \(BC=FG\). If they cut AC and AB at points P and Q respectively, \(\frac{1}{BQ} + \frac{1}{CP}\) = \(?\)