Number of Trigonometric solutions
Algebra
Level
4
For each integer \(n>1\), let \(F(n)\) be the number of solutions to the equation \(\sin{x} = \sin{(nx)}\) on the interval \([0,\pi]\). What is \(\displaystyle\sum_{n=2}^{2007}\)\(F(n)\)?
by
Anuj Shikarkhane