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picture1_Aqa As A Maths Formulapdf


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formulae for alevel mathematics as mathematics 7356 alevel mathematics 7357 v1 2 first issued august 2017 for the new specifications for first teaching from september 2017 this booklet of formulae ...

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         Formulae for A‑level Mathematics 
         AS Mathematics (7356)
         A‑level Mathematics (7357)
         v1.2  First issued August 2017
         For the new specifications for first teaching from September 2017.
         This booklet of formulae is required for all AS and A‑level Mathematics exams.
         There is a larger booklet of formulae and statistical tables for all AS and A‑level Further 
         Mathematics exams.
         Page Bros/E7                                                                              MFB8
                                                2
        Further copies of this booklet are available from:
        Telephone:  0844 209 6614  Fax:  01483 452819 
        or download from the AQA website www.aqa.org.uk 
        Copyright © 2017 AQA and its licensors.  All rights reserved.
        Copyright
        AQA retains the copyright on all its publications.  However, registered centres of AQA are permitted  
        to copy material from this booklet for their own internal use, with the following important exception: 
        AQA cannot give permission to centres to photocopy any material that is acknowledged to a third party 
        even for internal use within the centre.
        Set and published by AQA.
        AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number 3644723). Our registered address is 
        AQA, Devas Street, Manchester M15 6EX
                            3
      Contents
                                               Page
      Pure mathematics                          4
      Mechanics                                 6
      Probability and statistics                6
                                                                                     4
              Pure mathematics
              Binomial series
                                           n               n                        n
                              nn nn−−122                                                       nr−    r             n
                    ()ab+=a +                    ab ab                                       ab bbn()∈
                                                        +                 +…+                     +…+
                                             12 r
                                                                                     
                   where  n            n               n!
                                      ==C
                               r           r
                                                  rn r
                                                     !!()
                                                          −
                                                nn()−1                     nn()−…11()nr−+
                             nr2
                    ()11+=xn++x                              x +…+                                        xx+… ()<∈1, n 
                                                   1.2                               1.2…r
              Arithmetic series
                   S  =  1 n (a + l) =  1 n [2a + (n − 1)d]
                     n     2                  2
              Geometric series
                                     n
                   S  =  ar()1−
                     n        1−r
                   S  =       a   for  | r | < 1
                     ∞      1−r
              Trigonometry: small angles
                   For small angle θ, measured in radians:
                         sin θ ≈ θ
                         cos θ ≈ 1 − θ2
                                            2
                         tan θ ≈ θ
              Trigonometric identities
                   sin (A ± B) = sin A cos B ± cos A sin B
                   cos (A ± B) = cos A cos B   sin A sin B
                                         tantAB± an                                     1
                   tan (A ± B) =                                 (A ± B ≠ (k + 2 )π)
                                                   AB
                                        1t an tan
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...Formulae for alevel mathematics as v first issued august the new specifications teaching from september this booklet of is required all and exams there a larger statistical tables further page bros e mfb copies are available telephone fax or download aqa website www org uk copyright its licensors rights reserved retains on publications however registered centres permitted to copy material their own internal use with following important exception cannot give permission photocopy any that acknowledged third party even within centre set published by education charity number company limited guarantee in england wales our address devas street manchester m ex contents pure mechanics probability statistics binomial series n nn nr r ab bbn where c rn xn x xx...

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