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authorjoshuab <>2010-07-02 16:47:07 +0000
committerbnewbold <bnewbold@adelie.robocracy.org>2010-07-02 16:47:07 +0000
commit4f4c8a1d598cb82b5accf158fb6e1a382fb2a687 (patch)
treec184863f3a69771190abda15e849f6ceaae14b5f /Fourier Series.page
parent9378e95142f156250de1a568208972d50806ae23 (diff)
downloadafterklein-wiki-4f4c8a1d598cb82b5accf158fb6e1a382fb2a687.tar.gz
afterklein-wiki-4f4c8a1d598cb82b5accf158fb6e1a382fb2a687.zip
Swapped in \cdot for .
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-rw-r--r--Fourier Series.page5
1 files changed, 3 insertions, 2 deletions
diff --git a/Fourier Series.page b/Fourier Series.page
index 91bad7a..3ede531 100644
--- a/Fourier Series.page
+++ b/Fourier Series.page
@@ -15,7 +15,7 @@ Rearranging,
$\qquad\sin^2(x) = \frac{1-\cos(2x)}{2}$
-$2.\quad\sin(2x).\cos(2x) = ?$
+$2.\quad\sin(2x)\cdot\cos(2x) = ?$
Based on the double angle formula,
@@ -23,7 +23,7 @@ $\qquad\sin(2x) = 2\sin(x)\cos(x)$
Rearranging,
$$\begin{array}{ccl}
-\sin(2x).\cos(x) & = & [2\sin(x)\cos(x)].\cos(x)\\
+\sin(2x)\cdot\cos(x) & = & [2\sin(x)\cos(x)]\cdot\cos(x)\\
& = & 2 \sin(x) [ 1 - \sin^2(x)]\\
& = & 2\sin(x) - 2\sin^3(x)\\
\end{array}$$
@@ -53,6 +53,7 @@ $$
e^{i\theta} & = & \cos \theta + i \sin \theta\\
\end{array}
$$
+
##What is the Fourier series actually?</b>
##Why is Fourier series useful? </b>