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