Looks good to me.WWCY said:
haruspex said:
Euler's formula is a mathematical formula that relates complex numbers to trigonometric functions. It states that e^(iθ) = cos(θ) + i*sin(θ), where e is the base of the natural logarithm, i is the imaginary unit, and θ is the angle in radians.
A complex number is a number that has both a real and an imaginary part. It is written in the form a + bi, where a and b are real numbers and i is the imaginary unit (√-1).
Euler's formula has many applications in physics, engineering, and mathematics. It is used to solve differential equations, circuit analysis, signal processing, and many other areas of science and technology.
Yes, Euler's formula can be generalized to any power n. It is written as e^(inθ) = cos(nθ) + i*sin(nθ).
Euler's formula is significant because it provides a link between two seemingly unrelated areas of mathematics: complex numbers and trigonometry. It also allows for easier calculations and representations of complex numbers, making them more accessible and useful in various fields of science and engineering.