How is Euler's rule used in real life?

How is Euler's rule, a mathematical principle that relates exponential functions and trigonometric functions through the complex exponential function, utilized in practical, everyday applications? Can you provide some real-world examples of where it's been implemented to solve complex problems or enhance technological advancements? Is it solely confined to the realms of academia and theoretical physics, or does it have a more tangible impact on industries like finance, engineering, or even cryptography?