From 13ab4a8b7fd3aca4fff20f91d70eb5d9ff18aa4c Mon Sep 17 00:00:00 2001 From: siveshs Date: Fri, 2 Jul 2010 18:39:13 +0000 Subject: still testing --- Fourier Series.page | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) 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 @@ $$ \begin{array}{ccl} e^{i\theta} & = & \cos \theta + i \sin \theta\\ e^{-i\theta} & = & \cos \theta - i \sin \theta\\ -\therefore\\ +\\ +Solving for \cos \theta and \sin \theta\\ +\cos \theta & = & \frac{1}{2}e^{i\theta} + \frac{1}{2}e^{-i\theta}\\ +\sin \theta & = & \frac{1}{2i}e^{i\theta} - \frac{1}{2i}e^{-i\theta}\\ \end{array} $$ -- cgit v1.2.3