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authorsiveshs <siveshs@gmail.com>2010-07-02 18:46:33 +0000
committerbnewbold <bnewbold@adelie.robocracy.org>2010-07-02 18:46:33 +0000
commitd8807f800af54d7d4652f8061a478e18f557d42b (patch)
tree37a307426a721ea80af8cc2ebe0a2108b7b54027 /Fourier Series.page
parent4da9d3305648669aabbfc601632bea42613b9199 (diff)
downloadafterklein-wiki-d8807f800af54d7d4652f8061a478e18f557d42b.tar.gz
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still testing
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diff --git a/Fourier Series.page b/Fourier Series.page
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@@ -52,8 +52,13 @@ $$
\begin{array}{ccl}
e^{i\theta} & = & \cos \theta + i \sin \theta\\
e^{-i\theta} & = & \cos \theta - i \sin \theta\\
-\\
-Solving for \cos \theta and \sin \theta\\
+\end{array}{ccl}
+$$
+
+Solving for \cos \theta and \sin \theta\\
+
+$$
+\begin{array}{ccl}
\cos \theta & = & \frac{1}{2}e^{i\theta} + \frac{1}{2}e^{-i\theta}\\
\sin \theta & = & \frac{1}{2i}e^{i\theta} - \frac{1}{2i}e^{-i\theta}\\
\end{array}