De Moivre’s Theorem is a powerful connection between complex numbers and trigonometry. It states that if you have a complex number written in polar form as (cos θ i sin θ), then raising it to any integer power n results in (cos nθ i sin nθ). In other words, when you multiply a complex number by itself several times, you simply multiply its angle by that same number of times. This theorem provides a simple and elegant way to calculate powers and roots of complex numbers without performing lengthy