Unit 13 — Trigonometric Functions
Topic 3: Geometry and Trigonometry
Trigonometric Functions for IB Math AA SL and HL: notes on Three-Dimensional Solids, Right-Angled Trigonometry and Exact Values, The Sine Rule, Cosine Rule and Area of a Triangle, Bearings and…
Syllabus content: SL 3.1 SL 3.2 SL 3.3 SL 3.5 SL 3.4 SL 3.7 AHL 3.9 SL 3.6 SL 3.8 AHL 3.11 AHL 3.10
SL students read sections 13.1, 13.2, 13.3, 13.4, 13.5, 13.6, 13.7, 13.8, 13.10, 13.11, 13.13, 13.15. HL students read every section (the HL-only sections are marked HL).
| Section | Syllabus |
|---|---|
| 13.1 Three-Dimensional Solids | SL 3.1 |
| 13.2 Right-Angled Trigonometry and Exact Values | SL 3.1 SL 3.2 SL 3.3 SL 3.5 |
| 13.3 The Sine Rule, Cosine Rule and Area of a Triangle | SL 3.2 SL 3.5 |
| 13.4 Bearings and Applications | SL 3.3 |
| 13.5 Radians, Arc Length and Sector Area | SL 3.4 |
| 13.6 The Unit Circle and Trigonometric Ratios of Any Angle | SL 3.5 |
| 13.7 Graphs of Sine and Cosine | SL 3.7 |
| 13.8 The Tangent Graph and General Trigonometric Functions | SL 3.7 |
| 13.9 Reciprocal and Inverse Trigonometric Functions | AHL 3.9 |
| 13.10 Modelling Periodic Behaviour | SL 3.7 |
| 13.11 Trigonometric Identities | SL 3.6 |
| 13.12 Reciprocal Trigonometric Identities | AHL 3.9 |
| 13.13 Solving Trigonometric Equations | SL 3.8 |
| 13.14 Symmetry Identities and Reciprocal Ratio Equations | AHL 3.9 AHL 3.11 |
| 13.15 Double Angle Formulae | SL 3.6 |
| 13.16 Compound Angle Formulae | AHL 3.10 |