diff options
-rw-r--r-- | Fourier Series.page | 9 |
1 files changed, 7 insertions, 2 deletions
diff --git a/Fourier Series.page b/Fourier Series.page index 2f12fb1..ab12979 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -52,8 +52,13 @@ $$ \begin{array}{ccl} e^{i\theta} & = & \cos \theta + i \sin \theta\\ e^{-i\theta} & = & \cos \theta - i \sin \theta\\ -\\ -Solving for \cos \theta and \sin \theta\\ +\end{array}{ccl} +$$ + +Solving for \cos \theta and \sin \theta\\ + +$$ +\begin{array}{ccl} \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} |