plumiExponential form and de Moivre's theorem: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 2.5 Exponential form and de Moivre's theorem, 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 5 questions on Exponential form and de Moivre's theorem, as a list
- June 2024, Core Pure 2, Q7 (9 marks): (a) Determine the roots of the equation z 6 = 1 giving your answers in the form e iθ where 0 θ < 2π (2) (b) Show the roots of the equation in part (a) on a si
- June 2023, Core Pure 2, Q5 (9 marks): The points representing the complex numbers z1 = 35 – 25i and z2 = –29 + 39i are opposite vertices of a regular hexagon, H, in the complex plane. The centre of
- June 2022, Core Pure 2, Q4 (6 marks): (i) Given that z1 = 6e i 3 π and z2 = 6 5 i 6 3e π show that z1 + z2 = 12e 2 i 3 π (3) (ii) Given that arg(z – 5) = 2 3 π determine the least value of ½z½ as z
- November 2021, Core Pure 2, Q1 (5 marks): Given that 1 2 3 cos isin 3 3 2 cos isin 12 12 π π z π π z = + = − (a) write down the ex
- June 2019, Core Pure 2, Q4 (8 marks): The infinite series C and S are defined by C = cos ș + 1 2 cos 5ș + 1 4 cos 9ș + 1 8 cos 13ș + … S = sin ș + 1 2 sin 5ș + 1 4 sin 9ș + 1 8 sin 13ș + … Given tha
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