Solve a question about finding the roots of a complex number.

Introduction - motivation to finding the roots of a complex number. Also explains how to plot complex numbers known modulus and angle and covers when two complex numbers are equal.

This video reviews the variables involved in both forms of a complex numbers and deduces how to get the modulus and the angle when given a complex number in Cartesian form.

Covers the multiplication and division of complex numbers given in exponential and their equivalent formulas in polar form (deduced from the exponential ones) as an introduction to the deduction of De Moivre's Formula and ...

Deduces the formula for finding the roots of a complex number using as an example the cube roots of unity.

Introduces the exponential form of a complex number with a brief mention to power series so students can understand the importance of the angle being in radians.

Example of getting the polar form of a complex number if the cartesian form is known(number placed in the fourth quadrant).

Example of getting the polar form of a complex number if the cartesian form is known(number placed in the first quadrant).

Example of getting the Cartesian form of a complex number if the polar form is known.

Applies the substitution for the power rule in a case where the integral needs to be rewritten by using the properties of indices before the substitution application.