plumiHyperbolic functions: CAIE A‑Level Further Maths questions
Every CAIE A-Level Further Maths exam question on 2.1 Hyperbolic functions, June 2024 and the specimen papers, with its mark scheme and examiner’s report.
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![June 2024 Paper 2, question 6: ` j 1 6 (a) Show that cosh x sinh x e x 1 . [2] + 2 = 2 (b) Find the particular solution of the differential equation d 2 y d y ` j , 1 3 y 5 cosh x sinh x + +](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/923121-jun24-06-qp.webp)
![Specimen Paper 2, question 7: e 1 x o. [3] + 7 (a) Starting from the definition of tanh in terms of exponentials, prove that tanh−1x = 1 ln 1 2 − x e 1 − x o, show that (2x + 1)d d y + 1 = 0](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/923102-spec-07-qp.webp)
All 2 questions on Hyperbolic functions, as a list
- June 2024, Paper 2, Q6 (12 marks): ` j 1 6 (a) Show that cosh x sinh x e x 1 . [2] + 2 = 2 (b) Find the particular solution of the differential equation d 2 y d y ` j , 1 3 y 5 cosh x sinh x + +
- Specimen, Paper 2, Q7 (12 marks): e 1 x o. [3] + 7 (a) Starting from the definition of tanh in terms of exponentials, prove that tanh−1x = 1 ln 1 2 − x e 1 − x o, show that (2x + 1)d d y + 1 = 0
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