I wanna know, y Fourier represented any wave in sine & cosine terms & not any other functions other than the exponential..
2006-11-27 04:57:42 · 4 answers · asked by ((Gaining knowledge.) 2 in Science & Mathematics ➔ Engineering
sin and cosine are functions that are periodic- they stay within some given range and domain, as opposed to an exponential function which is not periodic, instead it goes off to infinity very fast. The Fourier series would not be as useful if it were for non periodic functions. his derivation may also require that sin and cos be in the equation (in other words, that is just how math works!) tangent is not present probably because it is the ration of sin and cos.
2006-11-27 05:04:27 · answer #1 · answered by Dre 2 · 0⤊ 0⤋
Since sines and cosines are periodic and orthogonal, it was a natural to try and decompose other periodic functions into them. There are many many other transforms but his are the best known so don't think they are the only game in town.
2006-11-27 05:14:00 · answer #2 · answered by Gene 7 · 0⤊ 0⤋
The function f(t) is 3 –periodic and f(t)={t,0≤t≤1, 1,1
2016-05-23 10:48:57
·
answer #3
·
answered by Anonymous
·
0⤊
0⤋
it is bcz that any wave can be divided into combination of sine and cosine wave. most of our signal is sinusoidal.
2006-11-30 23:40:28 · answer #4 · answered by Manoj 1 · 0⤊ 0⤋