E^-j theta formula

1. What is Euler's formula?
2. What is the value of e to the power i theta?
3. Why is Euler's equation used?
4. What does Euler's formula prove?

What is Euler's formula?

The second, also called the Euler polyhedra formula, is a topological invariance (see topology) relating the number of faces, vertices, and edges of any polyhedron. It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges.

What is the value of e to the power i theta?

e^( i) = 1 + i - ²/2!

Why is Euler's equation used?

Euler's formula relates the complex exponential to the cosine and sine functions. This formula is the most important tool in AC analysis. It is why electrical engineers need to understand complex numbers.

What does Euler's formula prove?

Euler's formula establishes the fundamental relationship between trigonometric functions and exponential functions. Geometrically, it can be thought of as a way of bridging two representations of the same unit complex number in the complex plane.