# Changes

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