Fp3 notes Ô . −1 (𝑥) is the reflection of 𝑦= 𝑓(𝑥) in 𝑦= 𝑥. View the video index containing tutorials and worked solutions to past exam papers. ì . The notes may be useful to a student without access to a teacher or a textbook. Notice arcosh x is a function defined so that arcosh x ≥ 0. Ideal for exam preparation. Edexcel FP3 Notes - math note - Pure Further Mathematics 3 Revision Notes June 2016 - Reflection of - Studocu The topics are organised according to the old (pre-2010) FP1-FP3 of Edexcel A Level, so you will have to pick and choose the topics you need for your course. ⇒ there is only one value of arcosh x. The standard trigonometric formulae are very similar to the hyperbolic formulae. x. Graphs . Remember that the graph of 𝑦= 𝑓. However, the equation cosh . y = arsinh . FP3 JUNE 2016 SDB . x y = arcosh . Inverse hyperbolic functions . z 6 FP3 14/04/2013 SDB 2 Further coordinate systems Ellipse Cartesian equation a ë . x y = artanh . They do form a logical progression, in that no topic depends on a topic further down the list. Õ 1 Parametric equations T L =cos à, L >sin à Foci at S (ae, 0) and S′ (–ae, 0) FP3 20/05/2016 SDB 3 1 3Hyperbolic functions Definitions and graphs í You should be able to draw the graphs of cosech x, sech x and coth x from the above: cosech x sech x coth x í Addition formulae, double angle formulae etc. Or possibly FP3 Edexcel IAL (International A-Level) further maths video tutorials. . FP3 revision notes covering hyperbolic functions, coordinate systems, differentiation, integration, vectors, and matrices. Osborne’s rule On Studocu you find all the lecture notes, summaries and study guides you need to pass your exams with better grades. xftkiwtdjqpvcguslelhtfjqnzufwkpebfmufhpnqmtsepfyozbjz