From 10a58589f3324625884995a68486b8cda213f9a2 Mon Sep 17 00:00:00 2001 From: siveshs Date: Fri, 2 Jul 2010 14:00:01 +0000 Subject: still testing --- Fourier Series.page | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/Fourier Series.page b/Fourier Series.page index 9c20925..3e450d3 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -45,7 +45,14 @@ $$ & = & \frac{1}{2}\sin(x) + \frac{1}{2}\sin(3x)\\ \end{array} $$ - + +Thus, we see that both these functions could be expressed as sums of sines and cosines. It is possible to show that every product of trignometric functions can be expressed as a sum of sines and cosines: + +$$ +\begin{arary}{ccl} +e^{i\theta} & = & \cos \theta + i \sin \theta\\ +\end{array} +$$ ##What is the Fourier series actually? ##Why is Fourier series useful? -- cgit v1.2.3