When do the sine components of a Fourier series vanish?

Question

A Fourier series is given by:

$$ s_N(x) = \sum c_n \cdot e^{i \frac{2\pi n x}{P}} $$

With Euler's identity, the exponential can be converted to a sums of sines and cosines.

It means that you are dealing with an even function. – Jack D'Aurizio Aug 10 '14 at 23:12 — Jack D'Aurizio, Aug 10 '14 at 23:12
When $c_n=c_{-n}$ for all $n$. – hmakholm left over Monica Aug 10 '14 at 23:13 — hmakholm left over Monica, Aug 10 '14 at 23:13

score 2 · Answer 1 · edited Apr 13 '17 at 12:21

2

When you are dealing with an even function. -- Jack D'Aurizio

When $c_n=c_{-n}$ for all $n$. -- Henning Makholm

edited Apr 13 '17 at 12:21

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answered Aug 11 '14 at 04:55

1 Answers1