plumiTrigonometry with de Moivre: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 2.7 Trigonometry with de Moivre, 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 Trigonometry with de Moivre, as a list
- June 2025, Core Pure, Q15 (9 marks): ^ ^h h 4 i 4 i 15 (a) Show that i i a b , where a and b are integers to be determined. [2] 3 e 3 e - cos 4 - - = + i The infinite series C and S are defined as
- June 2024, Core Pure, Q13 (10 marks): 1 i 13 The complex number z is defined as z e i where 0 r. = 1 1 i 3 2 On an Argand diagram, the point O represents the complex number 0, and the points P1, P2,
- June 2023, Core Pure, Q12 (7 marks): 5i 12 Show that sin a sin 5 b sin 3 c sin , where a, b and c are constants to be determined. [7] = + + i i i
- June 2022, Core Pure, Q14 (8 marks): i 2 i 14 (a) Find ( [2] 3 e i )( 3 e - i ) in terms of cos2i . - - (b) Hence show that the sum of the infinite series 1 1 1 sin sin 3 sin 5 sin 7 … + + + + i i
- November 2020, Core Pure, Q12 (8 marks): 1 n n 12 (a) Given that z cos isin , express z and z in simplified trigonometric form. = i + i + - n n z z [2] J N J N 3 3 1 1 KK OO KK OO , find constants A an
- June 2019, Core Pure, Q16 (12 marks): i i 16 (a) Show that ( 2 e i )( 2 e i ) 5 4 cos . [3] - - - = - i Series C and S are defined by 1 1 1 1 C cos cos 2 cos 3 cos n , = i + i + i + f + i 2 4 8 n 2
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