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Trigonometry resources

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Guides (1)

Resource type Just the Maths (A.J.Hobson)
"Just the Maths" authored by the late Tony Hobson, former Senior Lecturer in Mathematics of the School of Mathematical and Information Sciences at Coventry University, is a collection of separate mathematics units, in chronological topic-order, intended for foundation level and first year degree level in higher education where mathematics is a service discipline e.g. engineering.

Quick Reference (6)

Resource type Degrees and radians
This leaflet explains how angles can be measured both in degrees and in radians. It explains how to convert from degrees to radians and vice-versa. (Engineering Maths First Aid Kit 4.1)
Resource type Graphs of the trigonometric functions
This leaflet gives graphs of the functions sine, cosine and tangent and notes some important properties. (Engineering Maths First Aid Kit 4.3)
Resource type Pythagoras' theorem
This leaflet reminds students of Pythagoras' theorem and gives some simple examples. (Engineering Maths First Aid Kit 4.5)
Resource type The sine rule and cosine rule
This leaflet states the sine and cosine rules and gives examples of their use. (Engineering Maths First Aid Kit 4.6)
Resource type The trigonometrical ratios
This leaflet defines sine, cosine and tangent of angles in a right-angled triangle and gives some standard ratios. (Engineering Maths First Aid Kit 4.2)
Resource type Trigonometrical identities
This leaflet lists a number of commonly used trigonometrical identities. (Engineering Maths First Aid Kit 4.4)

Teach Yourself (11)

Resource type a cos x +b sin x = Rcos(x-a)
In this unit we explore how the sum of two trigonometric functions can be expressed as a single trigonometric function.
Resource type Cosecant, Secant and Cotangent
This unit explains what is meant by these three trigonometric ratios. Graphs of the corresponding functions are provided.
Resource type Pythagoras' theorem
This unit states Pythagoras' theorem and illustrates its use in the solution of two- and three-dimensional problems.
Resource type Radians
This unit looks at how angles can be measured in radians.
Resource type Sine, cosine and tangent of an angle of any size
This unit explains how we define the trig ratios sine, cosine, and tangent for an angle of arbitrary size.
Resource type The addition formulae
This unit details the addition formulae for sin(A+B), sin(A-B), etc.
Resource type The double angle formulae
This unit looks at the trigonometric formulae known as the double angle formulae.
Resource type Triangle formulae
This unit explains the sine rule, cosine rule and formula for finding the area of a triangle.
Resource type Trigonometric equations
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.
Resource type Trigonometric identities
In this unit several identities are derived and then used in the solution of trigonometric equations.
Resource type Trigonometrical ratios in a right angled triangle
This unit introduces the ratios sine, cosine and tangent, with reference to a right angled triangle.

Test Yourself (1)

Resource type Maths EG
Computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University.

Third Party Resources (2)

Resource type Mathematics Support Materials from the University of Plymouth
Support material from the University of Plymouth:
The output from this project is a library of portable, interactive, web based support packages to help students learn various mathematical ideas and techniques and to support classroom teaching.
There are support materials on ALGEBRA, GRAPHS, CALCULUS, and much more.
This material is offered through the mathcentre site courtesy of Dr Martin Lavelle and Dr Robin Horan from the University of Plymouth.
Resource type University of East Anglia (UEA) Interactive Mathematics and Statistics Resources
The Learning Enhancement Team at the University of East Anglia (UEA) has developed la series of interactive resources accessible via Prezi mind maps : Steps into Numeracy, Steps into Algebra, Steps into Trigonometry, Bridging between Algebra and Calculus, Steps into Calculus, Steps into Differential Equations, Steps into Statistics and Other Essential Skills.

Video (14)

Resource type Hyperbolic functions - David Saunders
This mathtutor extention video explains the derivation of hyperbolic functions starting from two-dimensional space. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Pythagoras' theorem
Pythagoras theorem - the square on the hypotenuse is equal to the sum of the squares on the other two sides - is well known. In this tutorial we revise the theorem and use it to solve problems in right-angled triangles. A less familiar form of the theorem is also considered. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Pythagoras' Theorem - an Animation
This mathtutor animation shows visually that the square on the hypotenuse is equal to the sum of the squares on the other two sides. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Radian measure
Most people usually learn to measure an angle in degrees. But in many scientific and engineering calculations radians are used in preference to degrees. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Sine, cosine and tangent of an angle of any size
Knowledge of the trigonometric ratios sine, cosine and tangent is vital in many fields of engineering, maths and science. This unit explains how the sine, cosine and tangent of an arbitrarily sized angle can be found. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Solving trigonometrical equations
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 Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The addition formulae
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 derive the final two. (Mathtutor Video Tutorial)
Resource type The double angle formulae
Double angle formulae are so called because they involve trigonometric functions of double angles e.g. sin 2A, cos 2A and tan 2A. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The form Rcos(x-a)
In this unit we explore how the sum of two trigonometric functions e.g.3 cos x plus 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 Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Triangle formulae
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 Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Trig functions: cosecant, secant and cotangent
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 Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Trig ratios in a right angled triangle
Knowledge of the trigonometric ratios of sine, cosine and tangent is vital in very many fields of engineering, science and maths. This unit introduces them and provides examples of how they can be used to solve problems. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Trigonometric identities
In this unit we consider trigonometric identities and how to use them to solve trigonometric equations. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Trigonometric ratios of an angle of any size - an Animation
This mathtutor animation shows how graphs of sin, cos and tan may be plotted as angles increase in positive and negative directions. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Video with captions (1)

Resource type Sine, cosine and tangent of an angle of any size
Knowledge of the trigonometric ratios sine, cosine and tangent is vital in many fields of engineering, maths and science. This unit explains how the sine, cosine and tangent of an arbitrarily sized angle can be found. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Video with captions which require edits (10)

Resource type Pythagoras' theorem
Pythagoras theorem - the square on the hypotenuse is equal to the sum of the squares on the other two sides - is well known. In this tutorial we revise the theorem and use it to solve problems in right-angled triangles. A less familiar form of the theorem is also considered. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Radian measure
Most people usually learn to measure an angle in degrees. But in many scientific and engineering calculations radians are used in preference to degrees. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Solving trigonometrical equations
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 Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The addition formulae
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 derive the final two. (Mathtutor Video Tutorial)
Resource type The double angle formulae
Double angle formulae are so called because they involve trigonometric functions of double angles e.g. sin 2A, cos 2A and tan 2A. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The form Rcos(x-a)
In this unit we explore how the sum of two trigonometric functions e.g.3 cos x plus 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 Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Triangle formulae
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 Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Trig functions: cosecant, secant and cotangent
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 Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Trig ratios in a right angled triangle
Knowledge of the trigonometric ratios of sine, cosine and tangent is vital in very many fields of engineering, science and maths. This unit introduces them and provides examples of how they can be used to solve problems. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Trigonometric identities
In this unit we consider trigonometric identities and how to use them to solve trigonometric equations. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.