1
Understand
Learn what the idea means and why mathematicians needed it.
HOW THIS COURSE TEACHES
Understanding comes before memorizing.
2
See It Work
Follow worked examples where every important step is explained.
3
Use It
Connect algebra to money, motion, science, construction, computers and everyday problems.
4
Practice
Work problems yourself with progressive hints when you need help.
5
Get Tutored
Ask the local AI tutor to explain anything another way.
6
Prove Mastery
Use practice tests and exams to find what you know and what needs review.
COMPLETE COURSE
Beginner Foundations → Advanced Algebra
Follow the course from Unit 1 or jump directly to a subject you are studying in school.
UNIT 1
Foundations of Trigonometry
Understand what trigonometry measures and why it exists.
UNIT 2
Right Triangle Ratios
Build sine, cosine and tangent from triangle relationships.
UNIT 3
Solving Right Triangles
Use trig ratios to find unknown sides and angles.
UNIT 4
Angles in Real Life
Apply triangle trigonometry to measurements in the real world.
UNIT 5
Radians
Learn the natural angle measure used in advanced mathematics.
UNIT 6
The Unit Circle
Connect angles to coordinates and exact trig values.
UNIT 7
Trigonometric Functions
Extend sine, cosine and tangent beyond right triangles.
UNIT 8
Graphs of Sine and Cosine
Visualize periodic motion using trigonometric graphs.
UNIT 9
Graphs of Tangent and Reciprocal Functions
Explore asymptotes and periodic behavior in additional trig functions.
UNIT 10
Trigonometric Identities
Understand relationships that are true for all valid angles.
UNIT 11
Solving Trigonometric Equations
Find angles that satisfy trig equations.
UNIT 12
Law of Sines
Solve non-right triangles using side-angle relationships.
UNIT 13
Law of Cosines
Solve triangles when the Pythagorean theorem is not enough.
UNIT 14
Advanced Trigonometric Formulas
Use angle-combination and multiple-angle identities.
UNIT 15
Applied Trigonometry
Use trigonometry to model waves, navigation, engineering and science.
PRACTICE LAB
Practice until it makes sense.
New problems are generated automatically. Wrong answers can receive hints instead of immediately revealing the answer.
Press “New Problem” to begin.
Practice Exam
Generate a comprehensive 30-question Algebra practice exam covering the course.
LOCAL AI TUTOR
Ask “why?” as many times as you need.
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WHERE DID ALGEBRA COME FROM?
Algebra has a story.
Mathematics did not suddenly appear in a textbook. People developed it over thousands of years because they had real problems they needed to solve.
Ancient astronomy
Early civilizations studied angles, shadows and celestial motion to measure time, seasons and the positions of objects in the sky.
Greek mathematics
Greek astronomers and mathematicians developed chord tables and geometric methods closely related to later trigonometric functions.
Indian mathematics
Indian mathematicians developed early sine tables and methods that became fundamental to the modern trigonometric tradition.
Islamic Golden Age
Mathematicians in the Islamic world greatly expanded trigonometry, developing systematic sine, cosine, tangent and spherical methods for astronomy, geography and navigation.
European development
European mathematicians adopted and extended trigonometric methods for surveying, astronomy, navigation and scientific calculation.
Analytic trigonometry
The development of algebra, coordinate geometry and calculus turned trigonometric ratios into functions that could be graphed and analyzed.
Modern technology
Trigonometry is essential to engineering, GPS, robotics, computer graphics, signal processing, architecture, physics and communications.
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