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authorsiveshs <siveshs@gmail.com>2010-07-02 18:39:13 +0000
committerbnewbold <bnewbold@adelie.robocracy.org>2010-07-02 18:39:13 +0000
commit13ab4a8b7fd3aca4fff20f91d70eb5d9ff18aa4c (patch)
treed4d4fa09e99e044928b4a3612a693edc94dadbe8
parent5695b3f59b6cd1070589a5e939c181743a65878e (diff)
downloadafterklein-wiki-13ab4a8b7fd3aca4fff20f91d70eb5d9ff18aa4c.tar.gz
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still testing
-rw-r--r--Fourier Series.page5
1 files changed, 4 insertions, 1 deletions
diff --git a/Fourier Series.page b/Fourier Series.page
index afa4c0a..5b4a758 100644
--- a/Fourier Series.page
+++ b/Fourier Series.page
@@ -52,7 +52,10 @@ $$
\begin{array}{ccl}
e^{i\theta} & = & \cos \theta + i \sin \theta\\
e^{-i\theta} & = & \cos \theta - i \sin \theta\\
-\therefore\\
+\\
+Solving for \cos \theta and \sin \theta\\
+\cos \theta & = & \frac{1}{2}e^{i\theta} + \frac{1}{2}e^{-i\theta}\\
+\sin \theta & = & \frac{1}{2i}e^{i\theta} - \frac{1}{2i}e^{-i\theta}\\
\end{array}
$$