Trigonometry: Free Online Course & Practice
Learn right-triangle trig, radians, the unit circle, trig graphs, identities, equations, and applications without getting lost.
High school, college repair, adult learners, homeschool students, and STEM-ready learners7 units52 lessons2369 practice & quiz problemsFree
Not sure where to start? Take the free 15-minute placement check to pinpoint your gaps, then practice with instant feedback and worked solutions.
Take the free Trigonometry placement check Open the Trigonometry courseCourse outline
Right Triangle Trigonometry
- What Trigonometry Measures
- Right Triangle Vocabulary
- Sine, Cosine, and Tangent Ratios
- Finding Missing Sides
- Finding Missing Angles
- Word Problems with Right Triangles
- Unit 1 Review and Quiz
Angles, Degrees, and Radians
- Degrees and Angle Rotation
- Radians as Arc Length
- Converting Degrees and Radians
- Coterminal Angles
- Reference Angles
- Quadrants and Signs
- Unit 2 Review and Quiz
The Unit Circle
- What the Unit Circle Is
- Coordinates on the Unit Circle
- Special Angles: 30, 45, 60 Degrees
- Sine and Cosine by Quadrant
- Tangent on the Unit Circle
- Common Unit Circle Values
- Unit 3 Review and Quiz
Graphs of Trig Functions
- Graphing Sine
- Graphing Cosine
- Amplitude
- Period
- Phase Shift
- Vertical Shift
- Graphing Tangent
- Unit 4 Review and Quiz
- Trigonometry Midterm Exam
Trig Identities
- What a Trig Identity Is
- Reciprocal Identities
- Quotient Identities
- Pythagorean Identities
- Simplifying Trig Expressions
- Verifying Simple Identities
- Unit 5 Review and Quiz
Solving Trig Equations
- Basic Sine Equations
- Basic Cosine Equations
- Basic Tangent Equations
- Solving on a Given Interval
- Equations Using Identities
- Multiple Solutions and General Solutions
- Unit 6 Review and Quiz
Applications of Trigonometry
- Angle of Elevation and Depression
- Law of Sines
- Law of Cosines
- Area of a Triangle Using Trig
- Vectors and Components
- Periodic Modeling
- Unit 7 Review and Quiz
- Trigonometry Final Exam
Frequently asked questions
Is the Trigonometry course free?
Yes. The entire Trigonometry course — 52 lessons, 2369 practice and quiz problems, worked solutions, and the placement check — is free to use at ClearMath Academy.
What does the Trigonometry course cover?
Learn right-triangle trig, radians, the unit circle, trig graphs, identities, equations, and applications without getting lost. It spans 7 units and 52 lessons, each with a worked example and practice problems with step-by-step solutions.
Who is Trigonometry for?
Trigonometry is aimed at high school, college repair, adult learners, homeschool students, and stem-ready learners. You can take a free 15-minute placement check first to find exactly which lessons to start with.
How do I find my gaps in Trigonometry?
Take the free Trigonometry placement check. It pinpoints the specific skills you're missing in about 15 minutes and builds a practice plan focused on those gaps.