plumiInverse hyperbolic functions: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 8.2 Inverse hyperbolic 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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All 6 questions on Inverse hyperbolic functions, as a list
- June 2025, Core Pure, Q14 (10 marks): - , show that 14 (a) By using the definition of cosh x and sinh x in terms of ex and e x 2 2 x x x [2] cosh sinh cosh 2 . + / J cosh x sinh x N KKK OOO and (b)
- June 2024, Core Pure, Q12 (12 marks): The diagram shows the curve with parametric equations x 2 cosh t sinh t , y cosh t 2 sinh t . = + = - y B A x O (a) The curve crosses the positive x-axis at A.
- June 2024, Core Pure, Q16 (6 marks): In this question you must show detailed reasoning. y 1 c m a b 3 1 + Show that d x ln , where a, b and c are integers to be determined. [6] = c 2 x x 1 + + 0
- November 2020, Core Pure, Q10 (7 marks): In this question you must show detailed reasoning. 1 2 The region in the first quadrant bounded by curve y cosh x , the y-axis, and the line y = 2 is = 2 rotate
- June 2019, Core Pure, Q13 (11 marks): 13 (a) Using the logarithmic form of arcosh x, prove that the derivative of arcosh x is . [5] 2 - x 1 2y (b) Hence find arcosh d x x , giving your answer in exa
- June 2019, Core Pure, Q15 (8 marks): In this question you must show detailed reasoning. 3 J N y 3 5 1 1 2 + KK OO Show that d x ln . [8] = 2 2 2 4 x 4 x 2 3 - + L P 4
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