know and apply the formula . know and apply Theorem and can thus extend this to the trigonometric identities and Pythagoras’ should then understand why they are called the Pythagorean Identities. Links Across the A-Level Course Surds the manipulation of surds is a basic skill that then allows the learner to use the values of – sine, cosine and tangent in exact form, particularly when solving trigonometric equations. Quadratic Equations being able to comfortably solve quadratic equations specifically those in a – function of the unknown like , or is important when solving trigonometric equations. Curve Sketching although the initial skills are largely applied to polynomial equations the – techniques developed here can easily be adapted and applied to the graphs of trigonometric functions. Functions The use of function notation, range and domain, and the relationship between and – will assist in the graphing of the trigonometric functions and understanding their connection to each other. Graph Transformations as with curve sketching the initial work is done with polynomial functions, – however exactly the same skill set applies to the transformation of trigonometric graphs. Circles There is a link to circles particularly in the creation of the Pythagorean Identities. That is – why these functions are correctly named the Circular Trigonometric Functions. Parametric Equations A number of parametric equations are given in terms of trigonometric – functions and so the understanding of how trigonometric functions work and link together becomes fundamental to this. Differentiation This requires the learner to be able to differentiate trigonometric functions from – first principles. Integration - the various techniques of integration will require a greater degree of manipulation of the trigonometric functions. Vectors There is a small and limited use of trigonometry in finding the direction of vectors. – Resolving Forces The Mechanics strand involves using trigonometry to resolve forces – horizontally and vertically, or parallel and perpendicular to an inclined plane.
know and apply the formula . know and apply Pythagoras’ Theorem and can thus extend this to the trigonometric identities and should then understand why they are called the Pythagorean Identities. Links Across the A-Level Course Surds – the manipulation of surds is a basic skill that then allows the learner to use the values of sine, cosine and tangent in exact form, particularly when solving trigonometric equations. Quadratic Equations – being able to comfortably solve quadratic equations specifically those in a function of the unknown like , or is important when solving trigonometric equations. Curve Sketching – although the initial skills are largely applied to polynomial equations the techniques developed here can easily be adapted and applied to the graphs of trigonometric functions. Functions – The use of function notation, range and domain, and the relationship between and will assist in the graphing of the trigonometric functions and understanding their connection to each other. Graph Transformations – as with curve sketching the initial work is done with polynomial functions, however exactly the same skill set applies to the transformation of trigonometric graphs. Circles – There is a link to circles particularly in the creation of the Pythagorean Identities. That is why these functions are correctly named the Circular Trigonometric Functions. Parametric Equations – A number of parametric equations are given in terms of trigonometric functions and so the understanding of how trigonometric functions work and link together becomes fundamental to this. Differentiation – This requires the learner to be able to differentiate trigonometric functions from first principles. Integration - the various techniques of integration will require a greater degree of manipulation of the trigonometric functions. Vectors – There is a small and limited use of trigonometry in finding the direction of vectors. Resolving Forces – The Mechanics strand involves using trigonometry to resolve forces horizontally and vertically, or parallel and perpendicular to an inclined plane.
416584-pure-mathematics-trigonometry-delivery-guide-version-1-.docx