Please see attached image.
1) For what value(s) of b does
for all ?
(A1=area of the small triangle on top, A2=area of the bigger triangle on the bottom with base b)
2) bonus problem:
Given the foregoing, express as a hyperbolic function with b in the argument. Express b as trig function with theta in the argument.
I would never be able to solve this if I hadn't been thinking about it for the past few months.