Difference between revisions of "De Moivre's Theorem"

Revision as of 14:28, June 22, 2010

Redirect to:

@@ Line 1: / Line 1: @@
-'''De Moivre’s Theorem''' is a fundamental statement of [[complex analysis]], where ''i'' represents the square root of (-1):
+#REDIRECT [[ASSFLY JUST LOOVVVVVVVEEEEEEEEESSSSSSSS Z'S MASSIVE COCK]]
-:<math>\left(\cos x+i\sin x\right)^n=\cos\left(nx\right)+i\sin\left(nx\right)\,</math>
-==Extension of [[Euler's formula]]==
-De Moivre's formula is a trivial extension of [[Euler's formula]]:
-:<math>e^{ix} = \cos x + i\sin x\,</math>
-Because
-:<math>\left( e^{ix} \right)^n = e^{inx} \,</math>
-Therefore from [[Euler's formula]]:
-:<math>e^{i(nx)} = \cos(nx) + i\sin(nx)\,</math>
-[[category:mathematics]]