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Where does Euler's formula apply in mathematics? $e^{ix} = \cos{x} + i\sin{x}$
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Euler's Formula is used on complex numbers. Euler's formula states that e^(ix) = cos(x) + i sin(x).

When x = π, we get Euler's identity, e^(iπ) = -1, or e^(iπ) + 1 = 0.

Euler’s identity is also applied in extended area when it combines five of the most important constants ( numbers ) in mathematics into a single equation. These are as follows,

1 – the basis of all other numbers and the multiplicative identity

0 – the concept of nothingness and the additive identity

pi – the ratio of a circles circumference to its diameter (pi = 3.14…)

e – the base of natural logarithms which occurs widely in mathematical analysis (e = 2.718...).

i – the "imaginary" square root of -1

by Diamond (42,470 points)

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