Dr. J's Maths.com

**Where the techniques of Maths**

are explained in simple terms.

are explained in simple terms.

Trigonometry - Measuring angles.

Main page.

- Algebra & Number
- Calculus
- Financial Maths
- Functions & Quadratics
- Geometry
- Measurement
- Networks & Graphs
- Probability & Statistics
- Trigonometry
- Maths & beyond
- Index

The following topics are linked from this page: |

1. The basic trigonometric ratios and their relationships. |

2. Angles of any magnitude (i.e. around the circle). |

3. Finding a trig ratio given another. |

4. Trigonometric identities. |

4. Trigonometric equations. |

5. Sine and Cosine rules. |

6. Angles of elevation and depression. |

7. Bearings. |

8. Radial surveys. |

9. 3-D trigonometry. |

10. Radians. |

11. Mensuration (arc length, area of sectors, etc). |

Definition of the basic trigonometric ratios. | History of the basic relationships and their meaning. |

Determining a ratio - Test Yourself 1. | |

Determining a ratio - Test Yourself 1 - Solutions. | |

The basic relationships. | |

Summary of the basic relationships - for reference and for helping you learn them. | |

Trig relationships - Test Yourself 1. | |

Trig relationships - Test Yourself 1 - Solutions. | |

Finding a side in a triangle - Test Yourself 1. | |

Finding a side in a triangle - Test Yourself 1 - Solutions. | |

Finding an angle in a triangle - Test Yourself 1. | |

Finding an angle in a triangle - Test Yourself 1 - Solutions. | |

Angles of any magnitude. | |

Angles in quadrants - Test Yourself 1. | |

Angles in quadrants - Test Yourself 1 - Solutions. | |

Finding a trig ratio given the value of another ratio. | |

Overview of main steps with an example. | |

Ratio to ratio - Test Yourself 1. | |

Ratio to ratio - Test Yourself 1 - Solutions. | |

Trigonometry identities. | See Equations and identities - Main page. |

Further trigonometric identities. | See Equations and identities - Main page. |

Solving trigonometric equations (angles in degrees). |
See Equations and identities - Main page. |

Sine and Cosine Rules. | Sine and Cosine Rules - Introduction - similarities and differences. |

Sine Rule. | |

Overview of steps for using the Sine Rule. | |

Sine Rule - Test Yourself 1. | |

Sine Rule - Test Yourself 1 - Solutions. | |

Sine Rule - Test Yourself 2. | |

Sine Rule - Test Yourself 2 - Solutions. | |

Cosine Rule | |

Overview of steps for using the Cosine Rule. | |

Cosine rule - Test Yourself 1. | |

Cosine rule - Test Yourself 1 - Solutions. | |

Using the cosine rule to approximate the value of π. | |

Area of a triangle. | |

Angles of elevation and depression. | General introduction to the concepts. |

Elevation & depression - Test Yourself 1. | |

Elevation & depression - Test Yourself 1 - Solutions. | |

Bearings. | General introduction. |

Bearings - Test Yourself 1. | |

Bearings - Test Yourself 1 - Solutions. | |

Bearings and Trig. Rules - Test yourself 1. | |

Bearings and Trig. Rules - Test yourself 1 - Solutions. | |

Radial surveys | |

Radial surveys - Test Yourself 1. | |

Radial surveys - Test Yourself 1 - Solutions. | |

3-dimensional trigonometry. | |

Radians | What are radians? |

Radians - Test Yourself 1. | |

Radians - Test Yourself 1 - Solutions. | |

Mensuration (arc length and areas). |
Arc length and sectors - Test Yourself 1. |

Arc length and sectors - Test Yourself 1 - Solutions. | |

Arc length and sectors - Test Yourself 2. |