Grade 12Algebra

WHAT IS FOURRIER SERIES
PLEASE EXPLAIN FROM THE BASICS

NANDA

12 Years agoGrade 12

12 Years ago

expression of this type are fourier polynomial

$\begin{displaymath}F_n(x) = a_0 + \sum_{k= 1}^{k=n} \Big(a_k\cos(kx) + b_k\sin(kx)\Big).\end{displaymath}$

fourier polynomial has period (2pi/k)

fourier series is summation of infinite fourier polynomial

$\begin{displaymath}A_0 + \sum_{n = 1}^{\infty} (A_n\cos(nx) + B_n\sin(nx)).\end{displaymath}$

where A₀is constant and A_n& B_nare cofficients

this question is not important for those who are preparing for IIT-JEE and other engineering entrance exams in INDIA

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