1.0 Credit

This honors level course will focus on the study of angles; the trigonometry of angles and real numbers; the trigonometric functions and their inverses including their graphs; solutions of right and oblique triangles; verification of fundamental identities and analytic trigonometry; addition, subtraction and multiple angle formulas; the laws of sines and cosines; vectors and the dot and cross product; complex numbers, De Moivre’s Theorem and nth roots of complex numbers; polar coordinates and equations. The course will also include the study of functions including exponential and logarithmic functions.


  • Extend the domain of trigonometric functions using the unit circle.
  • Model periodic phenomena with trigonometric functions.
  • Prove and apply trigonometric identies.


  • Perform arithmetic operations with complex numbers.
  • Represent complex numbers and their operations on the complex plane.
  • Use complex numbers in polynomial identies and equations.


  • Represent and model with vector quantities.
  • Perform operations on vectors.


  • Define trigonometric ratios and solve problems involving right triangles.
  • Apply trigonometry to general triangles.

1- Introduction
1- Introduction
2- Course Description
3- Pretest
Assignment: Pretest
4- MLA Formatting Word 2007
5- MLA Documentation Updates
6- MLA Citation
7- MLA Incorporating Sources
8- Completing Math Assessments

2- Angles & Triangles
1- Angles & Angle Measures
Handout: Angles & Angle Measures Worksheet
Assignment: Angles & Angle Measures
Worksheet: Converting Angle Measures
2- Triangle Review
Handout: Triangle Review Worksheet
Assignment: Triangle Review
3- Pythagorean Theorem
Handout: Pythagorean Theorem Worksheet
Assignment: Pythagorean Theorem
4- Special Right Triangles
Handout: Special Right Triangles Worksheet
Assignment: Special Right Triangles
5- Basic Trignometric Ratios
Handout: Basic Trigonometric Ratios Worksheet
Assignment: Basic Trigonometric Ratios
6- Inverse Trigonometric Ratios
Worksheet: Inverse Trigonometric Ratios
7- Laws of Sine & Cosine
Handout: Law of Sines & Cosines Worksheet
Assignment: Law of Sines & Cosines
8- The Unit Circle
Handout: Unit Circle
Handout: Finding Trig Values
Handout: Evaluating Trig Functions Worksheet
Assignment: Evaluating Trig Functions

3- Graphs of Trigonometric Functions
1- Graphs of Sine & Cosine
Handout: Graphs of Sine & Cosine Worksheet
Assignment: Graphs of Sine & Cosine
2- Linear & Angular Velocity
Handout: Linear & Angular Velocity Worksheet
Assignment: Linear & Angular Velocity
3- Graphs of Other Trig Functions
Handout: Cotangent Graph Exploration
Assignment: Cotangent Graph Exploration
4- Translations of Trig Functions
Handout: Translations of Trig Functions Worksheet
Assignment: Translations of Trig Functions
5- Applications of Trig Functions
Handout: Sinusoidal Applications Worksheet
Essay: Real-World Applications
Assignment: Sinusoidal Applications

4- Trigonometric Identities
1- Fundamental Trigonometric Identities
Handout: Fundamental Trigonometric Identities Worksheet
Assignment: Fundamental Trigonometric Identities
2- Proving Trigonometric Identities
Handout: Proving Trig Identities Worksheet
Assignment: Proving Trig Identities
3- Sum & Difference Identities
Handout: Sum & Difference Identities Worksheet
Assignment: Sum & Difference Identities
Essay: Sum & Difference Identities Short Answer
4- Double-Angle & Half-Angle Identities
Handout: Double & Half-Angle Identities Worksheet
Assignment: Double & Half-Angle Identities
Essay: Double & Half-Angle Identities Short Answer
5- Solving Trigonometric Equations
Handout: Solving Trig Equations Worksheet
Assignment: Solving Trig Equations

5- Mid-Term Exam
1- Midtest
Assignment: Midtest
Handout: Trigonometry Mid-Term Exam
Assignment: Trigonometry Mid-Term Exam

6- Inverse Trig Functions
1- Review: Basic Inverse Trig Functions
Handout: Inverse Review Worksheet
Assignment: Inverse Review
2- Graphs of Inverse Trig Functions
Handout: Inverse Trig Graphs Worksheet
Assignment: Inverse Trig Graphs
3- Inverse Trig Properties
Handout: Inverse Trig Properties Worksheet
Assignment: Inverse Trig Properties
4- Area of Triangles
Handout: Area of Triangles Worksheet
Assignment: Area of Triangles

7- Vectors
1- Introduction to Vectors
Handout: Introduction to Vectors Worksheet
Assignment: Introduction to Vectors
2- Geometric Vectors: Adding & Subtracting
Handout: Geometric Vectors
Assignment: Geometric Vectors
3- Algebraic Vectors
Handout: Algebraic Vectors Worksheet
Assignment: Algebraic Vectors

8- The Polar System
1- Polar Coordinates
Handout: Polar Coordinates Worksheet
Assignment: Polar Coordinates
2- Graphing Polar Equations
Handout: Graphing Polar Equations Worksheet
Assignment: Graphing Polar Equations
3- Polar & Rectangular Coordinates
Handout: Converting Polar & Rectangular Equations Worksheet
Worksheet: Converting Polar & Rectangular Coordinates
Assignment: Converting Polar & Rectangular Equations
4- Complex Numbers
Handout: Operations With Complex Numbers Worksheet
Assignment: Operations With Complex Numbers
5- Polar Form of Complex Numbers
Handout: Polar Form of Complex Numbers Worksheet
Assignment: Polar Form of Complex Numbers
6- Complex Numbers in Polar Form: Products & Quotients
Handout: Products & Quotients Worksheet
Assignment: Products & Quotients
7- De Moivre’s Theorem
Handout: De Moivre’s Theorem Worksheet
Assignment: De Moivre’s Theorem

9- Final Exam
1- Post-test
Assignment: Post-test
Handout: Trigonometry Final Exam
Assignment: Final Exam

10- Course Survey
Handout: Course Survey
Assignment: Course Survey