How to convert a complex number to polar form and back

There are three very common ways of writing any complex number z: Standard form: z = x + i y Polar form: z = |z| (cosφ + i sinφ) Exponential form: z = |z| eiφ In this post we explain how to get from any of these representations to the other ones. From standard formContinue reading “How to convert a complex number to polar form and back”

How to divide by a complex number

When we divide a complex number   by another one, say we usually want to obtain the result in standard form. So how do we simplify a quotient such that the result takes the form ? The answer is: We multiply the numerator and the denominator of the quotient by the complex conjugate of theContinue reading “How to divide by a complex number”