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| author | siveshs <siveshs@gmail.com> | 2010-07-02 03:45:38 +0000 |
|---|---|---|
| committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-02 03:45:38 +0000 |
| commit | 9f6c9f4e37ea38fe043e55adeb4880fead4448af (patch) | |
| tree | 57a9e7684c973f0b35686a650b4ad5e8ec5b0357 /Fourier Series.page | |
| parent | 6ad599e9356fba4444c8236e8537a030dc9686c2 (diff) | |
| download | afterklein-wiki-9f6c9f4e37ea38fe043e55adeb4880fead4448af.tar.gz afterklein-wiki-9f6c9f4e37ea38fe043e55adeb4880fead4448af.zip | |
still testing
Diffstat (limited to 'Fourier Series.page')
| -rw-r--r-- | Fourier Series.page | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index 4da54cf..61253ee 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -23,7 +23,7 @@ $\qquad\sin(2x) = 2\sin(x)\cos(x)$ Rearranging, $$\begin{array}{ccl} -\sin(2x).\cos(x) & = & (2\sin(x)\cos(x))\cos(x)\\ +\sin(2x).\cos(x) & = & [2\sin(x)\cos(x)]\cos(x)\\ & = & 1+iy-\frac{y^{2}}{2!}-i\frac{y^{3}}{3!}+\frac{y^{4}}{4!}+i\frac{y^{5}}{5!}+\cdots\\ & = & (1-\frac{y^{2}}{2!}+\frac{y^{4}}{4!}+\cdots)+i(y-\frac{y^{3}}{3!}+\frac{y^{5}}{5!}-\cdots)\\ & = & \cos y+i\sin y\end{array}$$ |