An example of finding the cube roots of a complex number by first converting the number from Cartesian to polar form, then hence using De Moivre's Theorem to find the roots in polar form, and then converting the roots into Cartesian form

The general principle is explained of how to divide one complex number by another when both numbers are written in Cartesian form, so that the denominator of the final answer is a real number. A specific example of using this process is then given.

Explains how to deal with the trig ratios of angles above 90. By using the unit circle the sign of the trig ratios in all quadrants are obtained. Second part

Explains how to deal with the trig ratios of angles above 90. By using the unit circle the sign of the trig ratios in all quadrants are obtained.

Example of the solution of right-angled triangles using trigonometric ratios.

Define the main trigonometric ratios: sine, cosine and tangent

An example of first finding the vector and scalar parametric equations of two straight lines in 3D, given we know two points on each line. Gaussian Elimination then confirms that the lines intersect at a common point, whose coordinates are found.

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.

Following the previous video, the actual application of substitution is explained starting by its application to the power rule

An explanation is given of the general visual interpretation of polar coordinates. An example of then given of choosing different angles, evaluating 'r' at each of these angles and then plotting and joining the resulting points by hand.