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R cos(θ ± α) form: OCR MEI A‑Level Maths questions

OCR MEI A-Level Maths past-paper questions on 5.8 R cos(θ ± α) form, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

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560 questions

  1. Q8

    June 2024 · Paper 3

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  2. Q1

    June 2022 · Paper 2

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  3. Q10

    June 2019 · Paper 1

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  4. Q6

    June 2018 · Paper 2

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All 4 questions on R cos(θ ± α) form, as a list
  1. June 2024, Paper 3, Q8 (8 marks): In this question you must show detailed reasoning. 1 (a) Express cos x 3 sin x in the form R sin ( x ) , where R 2 0 and 0 1 1 . Give the + + a a r 2 values of
  2. June 2022, Paper 2, Q1 (4 marks): Express cos 3 sin in the form Rcos(i – a), where R and a are exact values to be determined. i + i [4]
  3. June 2019, Paper 1, Q10 (7 marks): 10 (a) Express cos 7 x 2 sin x in the form R cos ( x ) where R 2 0 and 0 1 1 r, giving the - + a a 2 exact value of R and the value of a correct to 3 significan
  4. June 2018, Paper 2, Q6 (5 marks): r . 6 (i) Express 7cosx ‒ 24sinx in the form Rcos(x + α), where 0 < α < 2 [3] (ii) Write down the range of the function f(x) = 12 + 7cosx ‒ 24sin x , x 0 G r. 2

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