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authorsiveshs <siveshs@gmail.com>2010-07-02 18:51:14 +0000
committerbnewbold <bnewbold@adelie.robocracy.org>2010-07-02 18:51:14 +0000
commit812f04f58d9740b8222537070de8012ea55acdd2 (patch)
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parentd8807f800af54d7d4652f8061a478e18f557d42b (diff)
downloadafterklein-wiki-812f04f58d9740b8222537070de8012ea55acdd2.tar.gz
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@@ -55,7 +55,7 @@ e^{-i\theta} & = & \cos \theta - i \sin \theta\\
\end{array}{ccl}
$$
-Solving for \cos \theta and \sin \theta\\
+Solving for $\cos \theta$ and $\sin \theta$
$$
\begin{array}{ccl}
@@ -63,7 +63,9 @@ $$
\sin \theta & = & \frac{1}{2i}e^{i\theta} - \frac{1}{2i}e^{-i\theta}\\
\end{array}
$$
-
+
+It is easy to show that any product of cosines and sines can be expressed as the product of exponentials which will reduce to a sum of sines and cosines.
+
##What is the Fourier series actually?</b>
##Why is Fourier series useful? </b>