Trigonometry is one of the most important topics in Higher Level Leaving Cert maths. It is also one of the most problematic for many students. It is hard to avoid trigonometry, as well as accounting for two full questions out of seven in Section A of Paper 2, trigonometry is required in many other areas of the course, e.g., complex numbers, differentiation, integration and vectors.
Originally trigonometry was purely the study of triangles, but it has been expanded greatly since then. Our course reflects this development. We study triangles, sectors, circles, trigonometry ratios as well as the more general trigonometry functions. We learn how to prove trigonometry identities and how to solve trigonometry equations. We also examine inverse trigonometry functions and investigate a well-known trigonometry limit.
The study of Senior Cycle Trigonometry can be divided into the following sections.
1. Fundamentals of Trigonometry
2. Trigonometry of the triangle and other figures
3. Trigonometric Identities
4. Trigonometric Equations
5. Inverse Trigonometric Functions and Limits
This excellent site contains many worked examples in each area, with questions given on each page. A number of questions are interactive, but to avail of this you have to first download the free MathView Internet plugin - it only takes a short while and is well worth having.
More interactive notes from the same site covering additional topics in trigonometry.
'Dave's Short Trig Course' offers a good basic introduction to this topic, although the pages at the end of the site are more likely to be of interest to higher level students. A number of the diagrams are interactive and can be manipulated or customised by the visitor.