This course provides a study of the relationships between the angles and sides of triangles, relationships between central angles and coordinate points on a circle, right triangles, circular functions, degree/radian measures of angles, trigonometric functions of angles, inverse functions, identities, graphic representations of trigonometric functions, law of sines and cosines, trigonometric equations, solutions of right and oblique triangles equations, vectors, complex numbers, and polar coordinates. Upon completion, students should be able to solve practical problems and use appropriate models for analysis. This course is designed to prepare students for further study in mathematics required in the sciences and other technical fields.

Prerequisite: Intermediate Algebra with a grade of C or better. Precalculus or College Algebra with a grade of C or better is recommended.

UC Approved: Yes

Meets Common Core Requirements: Yes

The Six Trigonometric Functions

Lessons | Homework | HW Quiz | ||
---|---|---|---|---|

1.1 The Rectangular Coordinate System | 1.1 | 1.1 | ||

1.2 Angles, Degrees and Special Triangles | 1.2 | 1.2 | ||

1.3 Trigonometric Functions | 1.3 | 1.3 | ||

1.4 Introduction to the Unit Circle | 1.4 | 1.4 | ||

Chapter 1 Test (25 questions) | ||||

Trigonometry

Lessons | Homework | HW Quiz | ||
---|---|---|---|---|

2.1 Right Triangle Trigonometry | 2.1 | 2.1 | ||

2.2 Other Angles and Trigonometric Functions | 2.2 | 2.2 | ||

2.3 Solving Right Triangles | 2.3 | 2.3 | ||

2.4 Applications | 2.4 | 2.4 | ||

Chapter 2 Test (18 questions) | ||||

Radian Measure

Lessons | Homework | HW Quiz | ||
---|---|---|---|---|

3.1 Reference Angle | 3.1 | 3.1 | ||

3.2 Radians and Degrees | 3.2 | 3.2 | ||

3.3 Circular Functions | 3.3 | 3.3 | ||

3.4 Arc Length and Area of a Sector | 3.4 | 3.4 | ||

3.5 Velocity | 3.5 | 3.5 | ||

Chapter 3 Test (22 questions) | ||||

Graphs of Trigonometric Functions

Lessons | Homework | HW Quiz | ||
---|---|---|---|---|

4.1 Graphs of Basic Trigonometric Functions | 4.1 | 4.1 | ||

4.2 Amplitude and Period | 4.2 | 4.2 | ||

4.3 Phase Shift | 4.3 | 4.3 | ||

4.4 Equations of Graphs | 4.4 | 4.4 | ||

4.5 Relations and Functions | 4.5 | 4.5 | ||

4.6 Inverse Trigonometric Functions | 4.6 | 4.6 | ||

Chapter 4 Test (23 questions) | ||||

Trigonometric Identities

Lessons | Homework | HW Quiz | ||
---|---|---|---|---|

5.1 Proving Identities | 5.1 | 5.1 | ||

5.2 Sum and Difference Formula | 5.2 | 5.2 | ||

5.3 Double-Angle Formula | 5.3 | 5.3 | ||

5.4 Half-Angle Formula | 5.4 | 5.4 | ||

5.5 More Identities | 5.5 | 5.5 | ||

Chapter 5 Test (22 questions) | ||||

Trigonometric Equations

Lessons | Homework | HW Quiz | ||
---|---|---|---|---|

6.1 Trigonometric Equations | 6.1 | 6.1 | ||

6.2 More Trigonometric Equations | 6.2 | 6.2 | ||

6.3 Trigonometric Equations & Multiple Angles | 6.3 | 6.3 | ||

6.4 Parametric Equations | 6.4 | 6.4 | ||

Chapter 6 Test (21 questions) | ||||

Triangles

Lessons | Homework | HW Quiz | ||
---|---|---|---|---|

7.1 Law of Cosines | 7.1 | 7.1 | ||

7.2 Law of Sines | 7.2 | 7.2 | ||

7.3 Area of a Triangle | 7.3 | 7.3 | ||

7.4 Vectors | 7.4 | 7.4 | ||

Chapter 7 Test (22 questions) | ||||

Polar Coordinates & Complex Numbers

Lessons | Homework | HW Quiz | ||
---|---|---|---|---|

8.1 Complex Numbers | 8.1 | 8.1 | ||

8.2 Trigonometric Form of a Complex Number | 8.2 | 8.2 | ||

8.3 Products and Quotients in Trigonometric Form | 8.3 | 8.3 | ||

8.4 Roots of a Complex Number | 8.4 | 8.4 | ||

8.5 Polar Coordinates | 8.5 | 8.5 | ||

8.6 Equations of Polar Coordinates and their Graphs | 8.6 | 8.6 | ||

Chapter 8 Test (21 questions) |

Final for Trigonometry (53 questions) |

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