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| -rw-r--r-- | Fourier Series.page | 5 |
1 files changed, 4 insertions, 1 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index afa4c0a..5b4a758 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -52,7 +52,10 @@ $$ \begin{array}{ccl} e^{i\theta} & = & \cos \theta + i \sin \theta\\ e^{-i\theta} & = & \cos \theta - i \sin \theta\\ -\therefore\\ +\\ +Solving for \cos \theta and \sin \theta\\ +\cos \theta & = & \frac{1}{2}e^{i\theta} + \frac{1}{2}e^{-i\theta}\\ +\sin \theta & = & \frac{1}{2i}e^{i\theta} - \frac{1}{2i}e^{-i\theta}\\ \end{array} $$ |