Question

what are the affects of combining sine functions of different phase shifts and periods.

I combined the following
1.) f(x)=sin(x+pi) and f(x)=sin(x+pi/2)
2.) f(x)=sin(x+pi) and f(x)=sin(2x+pi)
3.) f(x)=sin(x+pi) and f(x)=sin(1.5+pi)
4.) f(x)=sin(2x+pi) and f(x)=sin(1.5+pi)
5.) f(x)=sin(x+pi) and f(x)=sin(x-pi)