Pearson Edexcel Level 3 GCE. Further Mathematics Advanced PAPER 3A: Further Pure Mathematics 1,,. APPROVED GRADE A+

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1. The ellipse E has equation x y 2 2 36 20 + = 1 Find (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 prov... e 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. [Show More]

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