# Fourier Series in Hindi Part 8

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## Half Range Fourier Series in Hindi #8 How To Study Half Range Sine & Cosine Fourier Series in Hindi

JK ENGINEERING CLASSES(JK SMART CLASSES) introduced a full course of the most difficult subject name is ENGINEERING MATHEMATICS 3 (M-3) in the engineering field for all B.TECH TRADE(EE, CE, AE, ME, ECE and CSE, IT) in this video, we discuss the HOW TO COMPUTE EVEN & ODD FUNCTION OF FOURIER SERIES IN HINDI

EVEN FUNCTION
A function y = f(x) is said to be even, if f(-x) = f(x). The graph of the even function is always symmetrical about the y-axis.
ODD FUNCTION
A function y=f(x) is said to be odd, if f(-x) = – f(x). The graph of the odd function is always symmetrical about the origin. For example, the function f(x) = in [-1,1] is even as f(-x) = = f(x) and the function f(x) = x in [-1,1] is odd as f(-x) = -x = -f(x). The graphs of these functions are shown below : 1. If f(x) is even and g(x) is odd, then
â€¢ h(x) = f(x) x g(x) is odd
â€¢ h(x) = f(x) x f(x) is even
â€¢ h(x) = g(x) x g(x) is even
1. If f(x) is even, then bn=0 This is FOURIER COSINE SERIES ao and an is present
2. If f(x) is odd, then ao=an=0 This is FOURIER SINE SERIES the only bn is present.

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