# Fourier transforms

## Homework Statement

and scroll down to the "Examples of Fourier Transforms" part

I am ask to explain why the fourier transform on the rectangle function was similar to the fourier transform on the trangular function.

## The Attempt at a Solution

so here what I think, and i'm not totally sure about it. The FT of a rectangular function is sin and rhe FT of the trangular function is a sin^2. The FT are similar because both functions are even, symetric, and always positive. The rectangular function is a constant function, which gives the sin, while the trangular function is a linear function, which gives the sin^2. Maybe a x^2 function with bounds will give a sin^3? not really sure about that. Is my reasoning correct for why the two FTs are similar?

Can't you calculate the FT of x^2 function? it should be easy..
define a function bx^2 between -a and a , and see what the FT would be..

ok i did it, and it does show that it would be sin^3

know this, why is it that the higher the power, the larger n is for sin^n?

marcusl