| Skill
| Type
| Description
| Source
|
| The Addition Formulae |
Booklet |
This unit details the addition formulae for sin(A+B), sin(A-B), etc |
MathsCentre |
| 4.2 Trigonometric Functions |
Workbook |
express angles in radians + define trigonometric functions generally + sketch the graphs of the three main trigonometric functions: sin, cos, tan |
HELM |
| Cosecant, Secant and Cotangent |
Booklet |
This unit explains what is meant by these three trigonometric ratios. Graphs of the corresponding functions are provided |
MathsCentre |
| The Double Angle Formulae |
Booklet |
This unit looks at the trigonometric formulae known as the double angle formulae |
MathsCentre |
| 4.4 Applications of Trigonometry to Triangles |
Workbook |
Use trigonometry in everyday situations + fully determine all the sides and angles and the area of any triangle from partial information |
HELM |
| a cos x +b sin x = Rcos(x-a) |
Booklet |
In this unit we explore how the sum of two trigonometric functions can be expressed as a single trigonometric function |
MathsCentre |
| 4.5 Applications of Trigonometry to Waves |
Workbook |
use simple trigonometric functions to describe waves + combine two waves of the same frequency as a single wave in amplitude-phase form |
HELM |
| Trigonometric Equations |
Booklet |
This workbook explains how a number of trigonometric equations can be solved by making reference to a Table of standard results and using the symmetries and periodicities present in the graphs of trig functions |
MathsCentre |
| Trigonometric Identities |
Booklet |
In this unit several identities are derived and then used in the solution of trigonometric equations |
MathsCentre |
| Trigonometrical Identities |
Worksheet |
This leaflet lists a number of commonly used trigonometrical identities |
MathsCentre |
| a cos x + b sin x = R cos(x - α) |
Video - 29 mins |
In this unit we explore how the sum of two trigonometric functions e.g. 3 cos x + 4 sin x, can be expressed as a single trigonometric function. Having the ability to do this enables us to solve trigonometric equations and find maximum and minimum values |
MathTutor |
| Cosec, sec and cot |
Video - 16 mins |
In this unit we see how the three trigonometric ratios cosecant, secant and cotangent can appear in trigonometric identities and in the solution of trigonometric equations. Graphs of the functions are obtained from a knowledge of sine, cosine and tangent |
MathTutor |
| The addition formulae |
Video - 27 mins |
There are six so-called addition formulae often needed in the solution of trigonometric problems. In this unit we start with one and derive a second. Then we take another one as given and derive a second one from that. Finally we use these four to help us |
MathsCentre |
| The double angle formulae |
Video - 26 mins |
Double angle formulae are so called because they involve trigonometric functions of double angles e.g. sin 2A, cos 2A and tan 2A |
MathTutor |
| Triangle formulae |
Video - 40 mins |
A common mathematical problem is to find the angles or lengths of the sides of a triangle when some, but not all, of these quantities are known. It is also useful to be able to calculate the area of a triangle from some of this information |
MathTutor |
| Trig equations |
Video - 44 mins |
The strategy we adopt in solving trigonometric equations is to find one solution using knowledge of commonly occurring angles and then use the symmetries in the graphs of the trigonometric functions to deduce additional solutions |
MathTutor |
