What is the formula for Euler?

Answer 1

Euler's formula states that:

eix = cos(x) + i*sin(x);

where "i" is an imaginary number and "x" is an angle value.

Under this reasoning, ei*2(pi) equals 1:

ei*2(pi) = cos(2(pi)) + i*sin(2(pi));

ei*2(pi) = 1 + i*(0);

ei*2(pi) = 1 + 0;

ei*2(pi) = 1.

Another contributor:

Equivalently, e2i*pi - 1 = 0

That statement brings together, in such simplicity, two of the most important transcendental numbers (e and pi), the basic element of complex mathematics (i) and the two identities of arithmetical operations: addition (0), and multiplication (1).

Answer 2

The Euler's formula in mathematics states that e^(iπ) + 1 = 0, where e is the base of the natural logarithm, i is the imaginary unit, π is pi, and 0 is the additive identity. This formula connects exponential functions, complex numbers, and trigonometry in a profound way.