Yeah, that's a more generic form of what I said. ok, hold on... e^(i*x)= cos(x)+i*sin(x) e^(-i*x)= cos(-x)+i*sin(-x)= cos(x)-i*sin(x) cos(x)= (1/2) * (e

Yeah, that's a more generic form of what I said. ok, hold on... e^(i*x)= cos(x)+i*sin(x) e^(-i*x)= cos(-x)+i*sin(-x)= cos(x)-i*sin(x) cos(x)= (1/2) * (e^(i*x)+e^(-i*x)) sin(x)= (-i/2) * (e^(i*x)-e^(-i*x)) cos(i*x)= (1/2) * (e^(i*i*x)+e^(-i*i*x))=(1/2) * (e^x+e^(-x)) sin(i*x)= (-i/2) * (e^(x)-e^(-x)) That's the amusing part.