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| -rw-r--r-- | Fourier Series.page | 9 |
1 files changed, 8 insertions, 1 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index 9c20925..3e450d3 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -45,7 +45,14 @@ $$ & = & \frac{1}{2}\sin(x) + \frac{1}{2}\sin(3x)\\ \end{array} $$ - + +Thus, we see that both these functions could be expressed as sums of sines and cosines. It is possible to show that every product of trignometric functions can be expressed as a sum of sines and cosines: + +$$ +\begin{arary}{ccl} +e^{i\theta} & = & \cos \theta + i \sin \theta\\ +\end{array} +$$ ##What is the Fourier series actually?</b> ##Why is Fourier series useful? </b> |