Let f(x)=sin(x)f(x) = \sin(x)f(x)=sin(x) and g(x)=cos(x)g(x) = \cos(x)g(x)=cos(x). Which of the following functions has a period of π\piπ?
f(x)+g(x)f(x) + g(x)f(x)+g(x)
f(x)g(x)f(x)g(x)f(x)g(x)
f(x2)f(x^2)f(x2)
f(g(x))f(g(x))f(g(x))