A real-valued function f is said to be periodic with period T if f(x + T) = f(x). For example, 4π is a period of sin x, since sin(x + 4π) = sin x. The smallest value of T for which f(x+T) = f(x) holds is called the fundamental period of f. For example, the fundamental period of f(x) = sin x is T = 2π. What is the fundamental period of each of the following functions? (a) f(x) = cos 2πX (b) f(x) = (c) sin 1x f(x) = sin x + sin 2x (d) f(x) =sin 2x + cos 6x (e) f(x)=sin 9x + cos 2x (f) f(x) = A + ΣΑ An cos ηπ x + Bn sin n -X A and B depend only on n P р n = 1