What is Euler's formula?
Q: What is Euler's formula?
A: Euler's formula is an equation involving complex numbers and trigonometric functions that relates exponential functions of complex numbers to trigonometric functions.
Q: Who published Euler's formula?
A: Leonhard Euler published Euler's formula in 1748.
Q: Does the formula work when the angle is not a real number?
A: Yes, it turns out that the formula also works if the angle is a complex number.
Q: What happens when the angle is pi?
A: When the angle is pi, Euler's formula becomes e^iπ = -1.
Q: What happens when the angle is 2pi?
A: When the angle is 2pi, Euler's formula becomes e^i2π = 1.
Q: What does "e" represent in this equation?
A: In this equation, "e" represents Euler's number.
Q: What does "i" represent in this equation?
A: In this equation, "i" represents the imaginary unit.
