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Course Contents

Solutions For Systems of Linear Equations: Two Variables

Course Contents at a Glance

Systems of Linear Equations: Three Variables

Module 1: Trigonometric Functions

Solutions for Systems of Linear Equations: Three Variables

Angles

Systems of Nonlinear Equations and Inequalities: Two Variables

Solutions for Angles

Solutions for Systems of Nonlinear Equations and Inequalities: Two Variables

Unit Circle: Sine and Cosine Functions

Partial Fractions

Solutions for Unit Circle: Sine and Cosine Angles

Solutions for Partial Fractions

The Other Trigonometric Functions

Matrices and Matrix Operations

Solutions for the Other Trigonometric Functions

Solutions for Matrices and Matrix Operations

Right Triangle Trigonometry

Solving Systems with Gaussian Elimination

Solutions for Right Triangle Trigonometry

Solutions for Solving Systems with Gaussian Elimination

Module 2: Periodic Functions

Solving Systems with Inverses

Graphs of the Sine and Cosine Function

Solutions for Solving Systems with Inverses

Solutions to Graph's of the Sine and Cosine Function

Solving Systems with Cramer's Rule

Graphs of the Other Trigonometric Functions

Solutions for Solving Systems with Cramer's Rule

Solutions for The Other Trigonometric Functions

Module 6: Analytic Geometry

Inverse Trigonometric Functions

The Ellipse

Solutions for Inverse Trigonometric Functions

Solutions for The Ellipse

Module 3: Trigonometric Identities and Equations

The Hyperbola

Solving Trigonometric Equations With Identities

Solutions for The Hyperbola

Solutions for Solving Trigonometric Equations with Identities

The Parabola

Sum and Difference Identities

Solutions for The Parabola

Solutions for Sum and Difference Identities

Rotation of Axes

Double Angle, Half Angle, and Reduction Formulas

Solutions for Rotation of Axes

Solutions for Double-Angle, Half-Angle, and Reduction Formulas

Conic Sections in Polar Coordinates

Sum-to-Product and Product-to-Sum Formulas

Solutions for Conic Sections in Polar Coordinates

Solutions for Sum-to-Product and Product-to-Sum Formulas

Module 7: Sequences, Probability, and Counting Theory

Solving Trigonometric Equations

Sequences and Their Notations

Solutions for Solving Trigonometric Equations

Solutions to Sequences and Their Notations

Modeling with Trigonometric Equations

Arithmetic Sequences

Solutions for Modeling with Trigonometric Equations

Solutions for Arithmetic Sequences

Module 4: Further Applications of Trigonometry

Geometric Sequences

Non-right Triangles: Law of Sines

Solutions for Geometric Sequences

Solutions for Non-Right Triangles: Law of Sines

Series and Their Notations

Non-right Triangles: Law of Cosines

Solutions for Series and Their Notations

Solutions for Non-Right Triangles: Law of Cosines

Counting Principles

Polar Coordinates

Solutions for Counting Principles

Solutions for Polar Coordinates

Binomial Theorem

Polar Coordinates: Graphs

Solutions for Binomial Theorem

Solutions for Polar Coordinates: Graphs

Probability

Polar Form of Complex Numbers

Solutions for Probability

Solutions for Polar Form of Complex Numbers

Module 8: Introduction to Calculus

Parametric Equations

Finding Limits: Numerical and Graphical Approaches

Solutions for Parametric Equations

Solutions for Finding Limits: Numerical and Graphical Approaches

Parametric Equations: Graphs

Finding Limits: Properties of Limits

Solutions for Parametric Equations: Graphs

Solution to Finding Limits: Properties of Limits

Vectors

Continuity

Solutions for Vectors

Solutions for Continuity

Module 5: Systems of Equations and and Inequalities

Derivatives

Systems of Linear Equations: Two Variables

Solutions for Derivatives