Trigonometry: Complete Mastery in One Course
This course gives you a deep, practical understanding of Trigonometry - not just enough to pass an exam, but enough to make it part of how you think. You'll learn the fundamental principles in a way that sticks, so you can apply them with confidence long after the course is over.
Section 1: Space
Space, points, lines, and dimensions - these are the building blocks of everything that follows. Here you'll explore how points define locations, how lines connect them, and how space extends into two and three dimensions.
Section 2: Shapes
Points define space. Points define lines. Lines define shapes. Shapes with only straight lines are called Polygons.
Section 3: What is Trigonometry?
Trigonometry means 'triangle measurement'. Here we define it, meet the right-angled triangle, and learn the names of its parts — the foundation for everything that follows.
Section 4: Important Mathematics
These are the mathematical tools you'll use throughout trigonometry. Each one solves a specific problem you'll encounter when working with triangles — ratios for comparing sides, transposing for rearranging formulas, lookup tables for storing results, and functions for doing calculations efficiently.
Section 5: Trigonometry
Now we bring it all together - the three trigonometric functions connect angles to ratios, giving you a reliable way to measure triangles and solve for unknowns.
Section 6: Waves
Now that you understand how sine and cosine connect angles to ratios, you can see what happens when that angle keeps increasing — it creates waves. In this section, we'll look at waves as records of motion and see how repeating movement, time, and trigonometry come together to describe vibration and change.
Section 7: Practical Trigonometry
Trigonometry isn't about symbols or memorising formulas. It's about using angles and ratios to measure things you can't measure directly. We'll use triangles, real measurements, and simple calculations to solve practical problems - the same way trigonometry is used in the real world.