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In mathematics, de Moivre's formula (also known as de Moivre's theorem and de Moivre's identity) states that for any real number x and integer n it holds...

Abraham de Moivre FRS (French pronunciation: [abʁaam də mwavʁ]; 26 May 1667 – 27 November 1754) was a French mathematician known for de Moivre's formula, a...

de Moivre's theorem may be: de Moivre's formula, a trigonometric identity Theorem of de Moivre–Laplace, a central limit theorem This disambiguation page...

k, together with Euler's formula, implies several trigonometric identities, as well as de Moivre's formula. Euler's formula, the definitions of the trigonometric...

Moivre may refer to: Abraham de Moivre de Moivre's formula 28729 Moivre Moivre, Marne This disambiguation page lists articles associated with the title...

can be combined with de Moivre's formula to yield multiple-angle formulas for the sine and cosine. According to De Moivre's formula, cos ⁡ ( n x ) + i sin...

\theta } the following is true, and can be deduced using De Moivre's formula, Euler's formula and the binomial theorem. The product-to-sum identities or...

formula], eix = cos x + i sin x. Moreover, it seems to be unknown who first stated the result explicitly.... Mathematics portal De Moivre's formula Exponential...

just twice the real part; these roots form a cyclic Galois group. De Moivre's formula, which is valid for all real x and integers n, is ( cos ⁡ x + i sin...

In probability theory, the de Moivre–Laplace theorem, which is a special case of the central limit theorem, states that the normal distribution may be...

⁡ ( 2 π k / n ) {\displaystyle \cos(2\pi k/n)+i\sin(2\pi k/n)} . De Moivre's formula shows that numbers of this form are roots of unity: ( cos ⁡ ( 2 π...

{\displaystyle \sin {\big (}(n+1)\theta {\big )}} using de Moivre's formula or by using the angle sum formulas for cos {\displaystyle \cos } and sin {\displaystyle...

complex number can be computed using de Moivre's formula, which is obtained by repeatedly applying the above formula for the product: z n = z ⋅ ⋯ ⋅ z ⏟...

Sunday) – Jacob Roggeveen lands on Easter Island. Abraham de Moivre states de Moivre's formula, connecting complex numbers and trigonometry. A continuous...

and cosecant functions. These identities are in turn derived from de Moivre's formula, and we now turn to establishing these identities. Let x be a real...

mistake. The 18th century saw the work of Abraham de Moivre and Leonhard Euler. De Moivre's formula (1730) states: ( cos ⁡ θ + i sin ⁡ θ ) n = cos ⁡ n...

the collected works of Isaac Newton on algebra. Abraham de Moivre derives de Moivre's formula. John Floyer, in The Physician's Pulse Watch, introduces...

2307/2331714, JSTOR 2331714, I consider that the fact that Stirling showed that De Moivre's arithmetical constant was 2 π {\displaystyle {\sqrt {2\pi }}} does not...

right)^{n}=e^{inx}=\cos nx+i\sin nx} for any integer n, which is de Moivre's formula. The expressions of cos x and sin x in terms of the exponential function...

{r_{0}}{r_{1}}}e^{i(\varphi _{0}-\varphi _{1})}} Exponentiation (De Moivre's formula) ( r e i φ ) n = r n e i n φ {\displaystyle \left(re^{i\varphi...