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Sec, cosec, cot and inverse trig functions: OCR A‑Level Maths questions

OCR A-Level Maths past-paper questions on 1.05.5 Sec, cosec, cot and inverse trig functions, 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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481 questions

  1. Q4

    June 2024 · Paper 3

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  3. Q6

    November 2021 · Paper 3

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All 3 questions on Sec, cosec, cot and inverse trig functions, as a list
  1. June 2024, Paper 3, Q4 (9 marks): - 4 (a) Show that the equation cot 2 x 9 cosec x 3 0 can be expressed in the form - = 2 + 5 sin x 9 sin x 2 0 . [3] - = (b) (i) In this question you must show d
  2. November 2021, Paper 1, Q8 (10 marks): Functions f and g are defined for 0 x 2 by ( ) f x 2 tan x and ( ) g x sec x . G G = = r (a) (i) State the range of f. [1] (ii) State the range of g. [1] (b) (i
  3. November 2021, Paper 3, Q6 (6 marks): 6 The equation 6 arcsin ( 2 x 1 ) x 0 has exactly one real root. - - = (a) Show by calculation that the root lies between 0.5 and 0.6. [2] In order to find the

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