• #### Symmetry of Polar Graphs - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to determine if the graph of a polar equation is symmetric about the y-axis.
• #### 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.
• #### More Roots of Complex Numbers - Problem 3

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to find the nth roots of unity.
• #### More Roots of Complex Numbers - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to find the roots of a complex number quickly using four simple guidelines.
• #### Finding the Roots of a Complex Number - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to use DeMoivre's Theorem to compute the square roots of i.
• #### 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.
• #### Dividing Complex Numbers - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to find the quotient of two complex numbers in rectangular form, z1 = 6 - 6*i and z2 = 3 + 3*i, by converting them to trigonometric form.
• #### Symmetry of Polar Graphs - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to determine if the graph of a polar equation is symmetric about the y-axis when the first test of symmetry doesn't work.
• #### Families of Polar Curves: Circles, Cardiods, and Limacon - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to graph the special cases of the family r = a + b cos (theta) when a or b = 0.
• #### Families of Polar Curves: Roses - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to describe Roses, the family of curves with equations r=acos(b*theta) or r=asin(b*theta) when b >=2 and is an integer.
• #### Multiplying Complex Numbers - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to find the product of two complex numbers in rectangular form, z1 = 3 + 3*i and z2 = 1 + i*root(3), by converting them to trigonometric form.
• #### Families of Polar Curves: Roses - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to graph members of the polar family r = a sin(b*theta) when b is even.
• #### Finding the Roots of a Complex Number - Problem 3

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to use DeMoivre's Theorem and the half-angle formulas to compute the cube roots of a complex number, 7+24*i.
• #### Families of Polar Curves: Roses - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to graph members of the polar family r = a sin(b*theta) when b is odd.
• #### Converting Complex Numbers From Trigonometric Form to Rectangular - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to convert a complex number from trigonometric form to rectangular form.
• #### Converting Complex Numbers From Rectangular Form to Trigonometric - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to convert a complex number from rectangular form to trigonometric form.
• #### Families of Polar Curves: Conic Sections - Concept

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to describe the polar equations of conic sections.
• #### Families of Polar Curves: Circles, Cardiods, and Limacon - Problem 2

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to graph members of the polar family r = a + b cos (theta) when a > b > 0.
• #### Families of Polar Curves: Circles, Cardiods, and Limacon - Problem 1

##### Math›Precalculus›Polar Coordinates and Complex Numbers
How to graph the special case of the family r = a + b*cos(theta) when a = b.