Offered By

University of California, Irvine

About this Course

4.5

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This course covers mathematical topics in trigonometry. Trigonometry is the study of triangle angles and lengths, but trigonometric functions have far reaching applications beyond simple studies of triangles. This course is designed to help prepare students to enroll for a first semester course in single variable calculus.
Upon completing this course, you will be able to:
1. Evaluate trigonometric functions using the unit circle and right triangle approaches
2. Solve trigonometric equations
3. Verify trigonometric identities
4. Prove and use basic trigonometric identities.
5. Manipulate trigonometric expressions using standard identities
6. Solve right triangles
7. Apply the Law of Sines and the Law of Cosines

Start instantly and learn at your own schedule.

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Suggested: 5 hours/week...

Subtitles: English

Start instantly and learn at your own schedule.

Reset deadlines in accordance to your schedule.

Suggested: 5 hours/week...

Subtitles: English

Week

1In this module, you will get an overview of the course and the foundations of trigonometry. We will also begin exploring angles and different systems for angle measure. ...

5 videos (Total 31 min), 4 readings, 1 quiz

Converting Between Degrees-Minutes-Seconds and Degrees6m

Converting Between Degrees and Radians4m

Coterminal Angles6m

Reference Angles4m

Syllabus10m

Quiz Notation5m

Trigonometry Cheat Sheet3m

Angles and their Measure: Reading and Exercises50m

Angles and their Measure20m

Week

2In this module, we will explore circles and right triangles. We will see several special angles related to particular right triangles and we will learn how to find measurements of sides and angles in right triangles using trigonometric functions. ...

4 videos (Total 30 min), 1 reading, 1 quiz

Trigonometric Values of Special Angles10m

Right Triangle Trigonometry9m

Right Triangle Word Problems3m

Unit Circle and Solving Right Triangles: Reading and Exercises30m

Unit Circle and Solving Right Triangles20m

Week

3In this module we will explore several properties of trigonometric functions and discover how to compute values of these functions given information about an angle or a unit circle point....

3 videos (Total 18 min), 1 reading, 1 quiz

Trigonometric Values Given Information About the Angle, Part 1 6m

Trigonometric Values Given Information About the Angle, Part 2 4m

Properties of Trigonometric Functions: Reading and Exercises30m

Properties of Trigonometric Functions20m

Week

4We will now explore the inverse trigonometric functions. These are useful to go backwards - we will seek to find the angles which produce a given value of a trigonometric function....

3 videos (Total 24 min), 1 reading, 1 quiz

Compositions Involving Inverse Trigonometric Functions, Part 1 5m

Compositions Involving Inverse Trigonometric Functions, Part 2 3m

Inverse Trigonometric Functions: Reading and Exercises20m

Inverse Trigonometric Functions30m

Since 1965, the University of California, Irvine has combined the strengths of a major research university with the bounty of an incomparable Southern California location. UCI’s unyielding commitment to rigorous academics, cutting-edge research, and leadership and character development makes the campus a driving force for innovation and discovery that serves our local, national and global communities in many ways....

When will I have access to the lectures and assignments?

Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

What will I get if I purchase the Certificate?

When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

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Is financial aid available?

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