1. The problem statement, all variables and given/known data Using a theorem (state which theorem you are using and give the formula), Calculate the Fourier Transform of 1. rect(x)triangle(x) 2.cos(pi*x)sinc(x) 3.rect(x)exp(-pi*x^2) 4.sinc(x)sin(pi*x) 5. exp(-pi*x^2)cos(pi*x) 2. Relevant equations not sure what theorem to use for the first one. 3. The attempt at a solution Well I am thinkng that since the triangle function is an even function, that I could use the power theorem which states that f(x)g(-x) = F(s)G(s) so since triangle(-x)=triangle(x) I can just take the transform of rect(x) and multiply by the transform of triangle(x) I should be able to do the same for the rest of them. take the function that is even and make it g(-x)? or does it matter if the function is even? maybe it is just saying that given f(x) and g(x) reverse g(x) and multiply them together to get F(s) x G(s)? so I got for number 1 : [sinc(pi * s) / (pi * s)]^3 do I integrate that or is that the answer?