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| -rw-r--r-- | Fourier Series.page | 4 |
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diff --git a/Fourier Series.page b/Fourier Series.page index fc77e18..0ce4399 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -5,13 +5,13 @@ We first begin with a few basic identities on the size of sets. Show that the se ##Why Fourier series is plausible?</b> To show that Fourier series is plausible, let us consider some arbitrary trignometric functions and see if it is possible to express them as the sum of sines and cosines: -$\qquad\qquad\sin^2(x) = ? $ +$\qquad\sin^2(x) = ?$ Based on the double angle formula, $\cos(2x) = 1 - 2 \sin^2(x)$ Rearranging, -$\sin^2(x) = \frac{1-\cos(2x)}{2}$ +$\qquad\sin^2(x) = \frac{1-\cos(2x)}{2}$ ##What is the Fourier series actually?</b> |