How is Euler’s Formula/Identity practical?

Question

For those who don’t know, and correct me if I’m wrong, Euler’s Formula is e^(xi) = cos(x) + isin(x) and Euler’s Identity is where “x” is equal to pi, therefore e^(πi) = -1. It’s fascinating to me how something so complex can be equal to something so simple (talking about Euler’s Identity). But what I don’t get is how they’re practical. What are they used for, and why are they important?

In: 3

Answer 1

The identity is just kind of a beautiful fact. The formula can be used to work with complex numbers. It is why radians are so useful for describing angles.

Lots of things involve the unit circle which is what it describes.