Consider the family F1 of curve lying in the region {(x,y) εR2: y>0 and 0<x<π } and given by \(y=\frac{c(1-cosx)}{sinx},\) Where c is a positive real number. Let F2 be the family of orthogonal trajectories to f1. consider the curve C belonging to the family F2 passing through the point (\(\frac{π}{3}\),1). if a is a real number such that (\(\frac{π}{4}\), a) lies on C, then the value of a4 is equal _____to (Rounded off to two decimal places).