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Complex Numbers

Introduction to Complex Numbers
Introduction to Complex Numbers
Preview
Square Root of Negative Numbers
Preview
Combining Complex Numbers
Multiplying Complex Numbers
Dividing Complex Numbers
Roots and Complex Numbers
Square Root of a Complex Number
Solving Quadratics with Complex Roots
Solving Quadratics with Complex Coefficients
Roots of Equations 1
Roots of Equations 2
Modulus: Argument Form
Introduction to the Argand Diagram
The Modulus of a Complex Number
The Argument of a Complex Number
Writing Complex Numbers in Modulus Argument Form
Modulus: Argument Form Multiplication Proof
Modulus: Argument Form Division Proof
Use of Multiplication and Division Proof
Exponential Form of a Complex Number
De Moivre's Theorem
Introduction to DeMoivre's Theorem
Proof of DeMoivre's Theorem
DeMoivre's Theorem Trigonometric Identity 1
DeMoivre's Theorem Trigonometric Identity 2
DeMoivre's Theorem Trigonometric Identity 3
DeMoivre's Theorem to Determine the Value of a Complex Number 1
DeMoivre's Theorem to Determine the Value of a Complex Number 2
Multiples of Sine and Cosine
Derivation of Properties
Mutiples of Sine and Cosine 1
Mutiples of Sine and Cosine 2
Locus on the Argand Diagram
Circle 1
Circle 2
Circle 3
The Cartesian Equation of a Locus 1
The Cartesian Equation of a Locus 2
The Perpendicular Bisector
Half Line 1
Half Line 2
Vector Equation of a Line
Inequality 1
Inequality 2
The Largest Value
Intersection of Loci

Solving Quadratics with Complex Coefficients

Complex Numbers Roots and Complex Numbers
By: Sean Hunte
10 minutes
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