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-rw-r--r--Fourier Series.page9
1 files changed, 7 insertions, 2 deletions
diff --git a/Fourier Series.page b/Fourier Series.page
index 2f12fb1..ab12979 100644
--- a/Fourier Series.page
+++ b/Fourier Series.page
@@ -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}