7) Show that in the interval 0

7) Show that in the interval 0 p 27T the functions etnp, where n 0, +2, form an orthogonal set. Two functions f (p) and g(p) are mutually orthogonal in the interval 10, k] if dp g(p)* f (p) 0 dp f (p) * g(p) A set of functions {fn(p)) is an orthogonal set if every pair of different, funci,ions, say fn(p) and fn'(p), n n', is mutually orthogonal