Question

Fundamental period of sum of two periodic functions

Answer 1

Suppose that period of f(x)=T and period of g(x)=S, I am interested what is a period of f(x)g(x)? period of f(x)+g(x)? What I have tried is to search in internet, and found following link for this.

Also I know that period of sin(x) is 2π, but what about sin2(x)? Does it have period again πn, or? example is following function y=sin2(x)cos(x) i can do following thing, namely we know that sin(x)/cos(x)=tan(x) and period of tangent function is π, so I can represent y=sin2(x)/cos(x) as y=tan(x)×sin(x)