• #### DeMoivre's Theorem - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to raise a complex number to an integer power using DeMoivre's Theorem.
• #### The Complex Plane - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to plot complex numbers on the complex plane.
• #### DeMoivre's Theorem - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to simplify integer powers of a complex number by converting to trigonometric form.
• #### Dividing Complex Numbers - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to divide two complex numbers in trigonometric form.
• #### Multiplying Complex Numbers - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to simplify a product of two complex numbers in trigonometric form.
• #### The Euler Formula - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to use the Euler Formula to convert a complex number from the exponential form to rectangular form.
• #### Multiplying Complex Numbers - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to multiply two complex numbers in trigonometric form.
• #### DeMoivre's Theorem - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to compute several integer powers of a complex number, z = 1 + i, by converting to trigonometric form.
• #### Finding the Roots of a Complex Number - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to use DeMoivre's Theorem to compute the cube roots of a complex number.
• #### Multiplying Complex Numbers - Problem 3

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to find the product of two complex numbers by converting them to trigonometric form.
• #### Dividing Complex Numbers - Problem 3

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to find the quotient of two complex numbers by converting them to trigonometric form.
• #### Dividing Complex Numbers - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to simplify a quotient of two complex numbers in trigonometric form.
• #### More Roots of Complex Numbers - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to use four guidelines to find the fifth roots of a complex number.
• #### The Euler Formula - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to use the Euler Formula to convert a complex number from rectangular form to the exponential form.
• #### The Euler Formula - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to derive our method for multiplying complex numbers and DeMoivre's Theorem using Euler's Formula.
• #### Trigonometric Form of Complex Numbers - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to express a complex number in trigonometric form.
• #### Finding the Roots of a Complex Number - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to use DeMoivre's Theorem to compute the fourth roots of a complex number, 16 and -16.
• #### More Roots of Complex Numbers - Problem 3

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to find the nth roots of unity.
• #### The Euler Formula - Problem 3

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to derive two trigonometric identities using Euler's Formula.
• #### More Roots of Complex Numbers - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to use four guidelines to find the sixth roots of a complex number, and how to identify the geometric properties of the roots.