plumiComplex numbers: CAIE A‑Level Further Maths questions
Every CAIE A-Level Further Maths exam question on 2.5 Complex numbers, June 2024 and the specimen papers, with its mark scheme and examiner’s report.
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![June 2024 Paper 2, question 1: ` j, 3 = - 1 Find the roots of the equation z 108 3 108i , giving your answers in the form r cos i sin + i + i where r 2 0 and 0 1 1 2 . [5] i r](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/923121-jun24-01-qp.webp)
![Specimen Paper 2, question 6: (a) Using de Moivre’s theorem, show that 5 tan − 10 tan 3 tan 5 i i + i tan 5θ = . [5] 1 − 10 tan 2 5 tan 4 i + i 11 a k and tan2 a k. (b) Hence show that the e](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/923102-spec-06-qp.webp)
All 2 questions on Complex numbers, as a list
- June 2024, Paper 2, Q1 (5 marks): ` j, 3 = - 1 Find the roots of the equation z 108 3 108i , giving your answers in the form r cos i sin + i + i where r 2 0 and 0 1 1 2 . [5] i r
- Specimen, Paper 2, Q6 (10 marks): (a) Using de Moivre’s theorem, show that 5 tan − 10 tan 3 tan 5 i i + i tan 5θ = . [5] 1 − 10 tan 2 5 tan 4 i + i 11 a k and tan2 a k. (b) Hence show that the e
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