I’ve been reading the book, ** An Imaginary Tale: The Story of i [the square root of minus one]** by Paul J. Nahin and it’s really interesting! I’m almost to chapter 4 and so far it’s been introducing some nifty ideas about complex numbers. Among the content, we find a very convenient way of calculating the value of a complex number when multiplied by itself an integer amount of times. That is, . This is

**De Moivre’s Formula**.