From b94327a57c53dce7876b20be50d7380b8a702a14 Mon Sep 17 00:00:00 2001 From: siveshs Date: Fri, 2 Jul 2010 03:39:59 +0000 Subject: still testing --- Fourier Series.page | 10 ++++++---- 1 file changed, 6 insertions(+), 4 deletions(-) diff --git a/Fourier Series.page b/Fourier Series.page index 00ad189..fc77e18 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -5,10 +5,12 @@ We first begin with a few basic identities on the size of sets. Show that the se ##Why Fourier series is plausible? To show that Fourier series is plausible, let us consider some arbitrary trignometric functions and see if it is possible to express them as the sum of sines and cosines: - -$\qquad\qquad\sin^2(x) = ? $ -Based on the double angle formula, $\cos(2x) = 1 - 2 \sin^2(x)$ -Rearranging, +$\qquad\qquad\sin^2(x) = ? $ + +Based on the double angle formula, $\cos(2x) = 1 - 2 \sin^2(x)$ + +Rearranging, + $\sin^2(x) = \frac{1-\cos(2x)}{2}$ ##What is the Fourier series actually? -- cgit v1.2.3