plumiHyperbolic functions and identities: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 8.1 Hyperbolic functions and identities, 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 7 questions on Hyperbolic functions and identities, as a list
- June 2025, Core Pure 1, Q2 (5 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Determine the exact values of
- June 2025, Core Pure 1, Q9 (9 marks): (i) The curves with equations y x = 3 4 sinh and y x tanh 1 5 intersect at just one point P (a) Use algebra to show that the x coordinate of P satisfies the equ
- June 2024, Core Pure 2, Q1 (7 marks): (a) Using the definition of sinh x in terms of exponentials, prove that 4 3 3 3 sinh sinh sinh x x x (2) (b) Hence solve the equation sinh sinh 3 19 x x = givin
- June 2022, Core Pure 1, Q2 (4 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Determine the values of x for
- June 2022, Core Pure 1, Q9 (6 marks): (i) (a) Explain why cosh x x 0 ∞∫ d is an improper integral. (1) (b) Show that cosh x x 0 ∞∫ d is divergent. (3) (ii) 4 sinh x = p cosh x where p is a real cons
- November 2020, Core Pure 2, Q1 (7 marks): The curve C has equation y = 31 sinh x − 2 sinh 2x x ∈ Determine, in terms of natural logarithms, the exact x coordinates of the stationary points of C. (7)
- June 2019, Core Pure 2, Q1 (10 marks): (a) Prove that tanh–1 (x) = 1 2 ln 1 1 + − ⎛ ⎝⎜ ⎞ ⎠⎟ x x –k x k stating the value of the constant k. (5) (b) Hence, or otherwise, solve the equation 2x = tanh l
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