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Study Guides

Pre-Calculus 2

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