Question

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).

Answer 1

The correct answer is: 2