Date: Dec 8, 2012 3:09 PM Author: Deep Deb Subject: Properties of a right triangle Let ABC be a right triangle such that C = pi/2, 0<A<pi/2
Sides a, b are integers and c^2 is an integer but c is not an integer. This implies both Sin A and Cos A are irrational.
Conjecture: Both (sin 5A)^(2/5) and (cos 5A)^(2/5) can not be rational.
Any helpful comment about the conjecture will be appreciated.
If the conjecture is valid can it also be extended for sin 7A and cos 7A?