11 19 PROGRESSIONEdexcel A level MathematicsPure MathematicsYear 2个Pearson11 -19 PROGRESSIONendorsed forEdexcel A level MathematicsPure MathematicsYear 2Series Editor:Harry SmithAuthors:Greg Attwood,Jack Barraclough,Ian Bettison,Keith Gallick,Daniel Goldberg,Anne McAteer,Alistair Macpherson,Bronwen Moran,Joe Petran,Keith Pledger,Cong San,Harry Smith,Geoff Staley and Dave Wilkins个PearsonContentsContentsOverarching themesivReview exercise 1107Extra online contentvi5Radians1131Algebraic methods15.1Radian measure1141.1Proof by contradiction25.2Arc length1181.2Algebraic fractions55.3Areas of sectors and segments1221.3Partial fractions95.4Solving trigonometric equations1281.4Repeated factors125.5Small angle approximations1331.5Algebraic division14Mixed exercise 5135Mixed exercise 1196Trigonometric functions142Functions and graphs226.1Secant,cosecant and cotangent1432.1The modulus function236.2Graphs of secx,cosecx and cotx1452.2Functions and mappings276.3Using secx,cosecx and cotx1492.3Composite functions326.4Trigonometric identities1532.4Inverse functions366.5Inverse trigonometric functions1582.5y=f(x)and y=f(x)40Mixed exercise 61622.6Combining transformations442.7Solving modulus problems487Trigonometry and modelling166Mixed exercise 2537.1Addition formulae1677.2Using the angle addition formulae171Sequences and series597.3Double-angle formulae1743.1Arithmetic sequences607.4 Solving trigonometric equations1773.2Arithmetic series637.51813.3Geometric sequences667.6Proving trigonometric identities1863.4Geometric series707.7Modelling with trigonometric3.5Sum to infinity73functions1893.6Sigma notation76Mixed exercise 71923.7Recurrence relations793.8Modelling with series838Parametric equations197Mixed exercise 3868.1Parametric equations1988.2Using trigonometric identities202Binomial expansion918.3Curve sketching2064.1Expanding (1 +x)"928.4Points of intersection2094.2Expanding (a +bx)"978.5Modelling with parametric4.3Using partial fractions101equations213Mixed exercise 4104Mixed exercise 8220ii