( cos x + i sin x ) n = ( e i x ) n = e i n x = cos ( n x ) + i sin ( n x ) {\displaystyle (\cos x+i\sin x)^ {n}=\left (e^ {ix}\right)^ {n}=e^ {inx}=\cos (nx)+i\sin (nx)} That is De Moivre's formula. e. E, or e, is the fifth letter and the second vowel letter of the latin alphabet, used in the modern english alphabet, the alphabets of other western european languages and others worldwide. The first known use of the constant e is from Leibniz's correspondence to Huygens in 1690 and 1691, denoted by b. In 1727, Euler began to use e to represent this constant; and the first time e was used in publications was in Euler's "Mechanica" in 1736.
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E is the base of the natural logarithm (invented by John Napier). e appears in many areas of mathematics, so it is useful to know about it. Calculation There are many ways to calculate the value of e, but there is no way to calculate the absolutely accurate value because e is an irrational number (not .
