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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 exponential constant e
The letter e is used in many mathematical calculations to stand for a particular number known as the exponential constant. This leaflet provides information about this important constant, and the related exponential function.
Resource type The exponential constant e
This leaflet gives some basic information about the constant e. It shows graphs of the exponential function. (Engineering Maths First Aid Kit 3.4)
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 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 The hyperbolic functions
This leaflet gives definitions of the hyperbolic functions in terms of exponential functions. Graphs of the hyperbolic sine, cosine and tangent are illustrated. (Engineering Maths First Aid Kit 3.5)
Resource type The hyperbolic identities
This leaflet lists common identities involving the hyperbolic functions. (Engineering Maths First Aid Kit 3.6)
Resource type The inverse of a 2x2 matrix
Matrices 7: This leaflet explains what is meant by the inverse of a 2x2 matrix and shows how to calculate this when it exists. There is an accompanying video tutorial.
Resource type The inverse of a 2x2 matrix
Matrices 7: This video tutorial explains what is meant by the inverse of a 2x2 matrix and shows how to calculate this when it exists. There is an accompanying help leaflet.
Resource type The inverse of a 2x2 matrix
Matrices 7: This video tutorial explains what is meant by the inverse of a 2x2 matrix and shows how to calculate this when it exists. There is an accompanying help leaflet.
Resource type The inverse of a 2x2 matrix
This leaflet explains what is meant by the inverse of a 2x2 matrix and how this can be found using a formula. (Engineering Maths First Aid Kit 5.4)
Resource type The inverse of a matrix
This leaflet explains what is meant by the inverse of a matrix and how this can be calculated. (Engineering Maths First Aid Kit 5.5)
Resource type The logarithm function
This leaflet provides a table of values and a graph of the logarithm function. (Engineering Maths First Aid Kit 3.7)
Resource type The number 'e' - Trevor Hawkes
Trevor Hawkes discusses the number 'e', its relationship to other numbers - 0, pi and i - and its relevance to everyday life. 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 number 'e' - Trevor Hawkes
Trevor Hawkes discusses the number 'e', its relationship to other numbers - 0, pi and i - and its relevance to everyday life. 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 Product Rule
A special rule, the product rule, exists for differentiating products of two (or more) functions. This unit illustrates this rule. (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 Product Rule
A special rule, the product rule, exists for differentiating products of two (or more) functions. This unit illustrates this rule. (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 Quotient Rule
A special rule, the quotient rule, exists for differentiating quotients of two functions. This unit illustrates this rule. (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 Quotient Rule
A special rule, the quotient rule, exists for differentiating quotients of two functions. This unit illustrates this rule. (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 sine function
Video for iPod. 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 slope-intercept form
This leaflet explains the slope-intercept form of an equation describing a straight-line.
Resource type The tangent function
Video for iPod. 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 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 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 functions
The sine, cosine and tangent of an angle are all defined in terms of trigonometry, but they can also be expressed as functions. In this unit we examine these functions and their graphs. We also see how to restrict the domain of each function in order to define an inverse function.