Free online courses in Trigonometry

Free Online Trigonometry Courses with Exercises and Certification

Develop essential mathematical skills with free online courses designed to explain angles, triangles, trigonometric functions, identities, equations, and their practical applications. These learning resources support beginners, secondary school students, Grade 11 learners, and anyone who wants to review mathematics for academic study, examinations, or technical disciplines. Every course is free, features exercises for knowledge reinforcement, and includes free certification upon completion.

Learn fundamental and advanced concepts

Study the relationships between triangle sides and angles through structured lessons covering sine, cosine, tangent, cosecant, secant, and cotangent. Course content may also address right triangles, the unit circle, radians and degrees, reference angles, inverse functions, graphs, periodicity, amplitude, phase shifts, and domain and range. By combining definitions with worked examples and exercises, learners can strengthen numerical reasoning and build a reliable foundation for algebra, geometry, calculus, physics, engineering, and other STEM subjects.

Explore the available options by starting with Trigonometry for beginners or selecting the more extensive Trigonometry full course. Students preparing for upper-secondary mathematics can access Trigonometry Grade 11, while independent learners can compare additional lessons in the first Trigonometry course, second Trigonometry course, and third Trigonometry course.

Topics and learning outcomes

• Triangle analysis: calculate unknown sides and angles using trigonometric ratios and right-triangle relationships.
• Functions and graphs: interpret sine, cosine, and tangent curves, including transformations and periodic behavior.
• Identities: simplify expressions with reciprocal, quotient, Pythagorean, sum, difference, and double-angle identities.
• Equations: apply algebraic methods to solve trigonometric equations over specified intervals.
• Applications: model heights, distances, bearings, waves, rotations, and other real-world measurements.
• Practice: use exercises to consolidate procedures, evaluate understanding, and improve problem-solving accuracy.

Flexible study with free certification

These free courses make self-paced learning accessible to students with different levels of prior knowledge. Learners can revisit explanations, practice calculations, and progress from basic terminology to more complex analytical methods. For another structured option, view the Trigonometry Course. Completing course activities provides an opportunity to obtain free certification and document your learning experience.

Access the courses in the Cursa app

To access the courses, you must install the Cursa app on your mobile device. Android users can get it from Google Play through Download for Android. iPhone users can install it from the App Store through Download for iOS / iPhone. Install the app, choose a course, complete the lessons and exercises, and advance your mathematical education at no cost.