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-rw-r--r--Fourier Series.page10
1 files changed, 6 insertions, 4 deletions
diff --git a/Fourier Series.page b/Fourier Series.page
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@@ -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?</b>
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?</b>