TITLE: What is the period of $(2007)^{\sin x}$?
QUESTION [6 upvotes]: What is the period of $(2007)^{\sin x}$? Please explain how to proceed and what's the technique to generally solve these kind of problems.

REPLY [7 votes]: $f(x+2\pi) = 2007^{\sin(x+2\pi)} = 2007^{\sin(x)} = f(x)$