Where does Euler's Formula come from?

Euler's Formula is: eix = cos(x) + isin(x)

This identity comes from the Maclaurin expansion of the exponential function. The resulting maclaurin series is a power series in x with odd terms having a factor of i. Seperating the odd and even terms, the odd terms give isin(x) and the even terms give cos(x).

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Answered by Luke K. Further Mathematics tutor

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