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# pearson edexcel gce question booklet mark scheme results November 2021 Further Mathematics Advanced PAPER 3A: Further Pure Mathematics 1

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pearson-edexcel-gce-question-booklet-mark-scheme-results-november-2021-further-mathematics-advanced-level-in-futher-mathematics-paper-9fm0-3a 1. The ellipse E has equation x y 2 2 36 20 + = 1 Fi... nd (a) the coordinates of the foci of E, (3) (b) the equations of the directrices of E. (2) _________________________________________ ____________________________________________ _______________________________________________ ______________________________________ _____________________________________________________________________________________ _____________________________________________ ________________________________________ _________________________ ___________________ _________________________________________ ____________________________________________ _________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ __________________________________________ ___________________________________________ _________________________________________ ____________________________________________ ________________________________________ _____________________________________________ _______________________________________ ______________________________________________ ______________________________________ _______________________________________________ _____________________________________________________________________________________ ____________________________________ _________________________________________________ ___________________________________ __________________________________________________ ___________________________________ __________________________________________________ _____________________________________________________________________________________ _________________________________ ________________ . (i) Use the substitution t = tan x 2 to prove the identity sin cos sin cos x x x x − + + − 1 1 ≡ sec x + tanx x ≠ 2 nπ n (5) (ii) Use the substitution t = tan θ2 to determine the exact value of 2 0 5 d 4 2cos π θ ∫ + θ giving your answer in simplest form. (5) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ___________________________________ [Show More]

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