What do you get for your leap of faith in complex numbers? For one, trigonometry becomes a lot easier. Instead of memorizing several complicated trig formulas, you need only one equation to rule them ...

the world of complex analysis. For one, trigonometry becomes a lot easier. Instead of memorizing several complicated trig formulas, you need only one equation to rule them all: Euler's 1740 formula.

With decent algebra skills, you can manipulate Euler’s formula to see that most of the ... number” – and others have observed, complex numbers make seemingly impossible integrals easy ...