# Topic Questions: 3.2 De Moivre's theorem and its application to trigonometric identities and to roots of a complex number. — WFM02 Further complex numbers > 54 WFM02 Further complex numbers topic questions (204 marks) on 3.2 De Moivre's theorem and its application to… — 21 papers, 2014–2026. Open the exact… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-2-de-moivre-s-theorem-and-its-application-to-trigonometric-identities-and-to-roots/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-2-de-moivre-s-theorem-and-its-application-to-trigonometric-identities-and-to-roots/index.md --- Edexcel IAL · Mathematics · WFM02 · Further complex numbers 54 WFM02 Further complex numbers topic questions are tagged to this syllabus point across 21 papers (2014–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved. - 54 topic questions - 21 papers - 204 tagged marks - 53.5% of topic questions - 51.9% of topic marks - 2014–2026 - Syllabus 2014–current - [All WFM02 Further complex numbers topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This Further complex numbers syllabus point appears in 21 WFM02 papers across 2014–2026, contributing 54 topic questions and 204 marks.** The most recent appearance is WFM02/01 January 2026. That equals 53.5% of the 101 topic questions and 51.9% of the 393 marks tagged to Further complex numbers. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history. ## Topic questions by session Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use **Go to Practice Hub** to answer that exact question in the Interactive Practice Hub. | Paper | Question | Type | Parts | Marks | Difficulty | Practice | | --- | --- | --- | --- | --- | --- | --- | | [**WFM02/01** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2026-january-wfm02-01/#q-7) | **Q7** Trigonometric Identities and Integration - Edexcel IAL FP2 Jan 2026 Q7 | FRQ | 3 parts ((a), (b), (c)) | 8 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=63f30edc-da72-4873-8d78-4788909df537&question_id=f33ca9aa-b29f-4f39-b3fd-14a4ab2d7321&source_detail=WFM02%2F01+January+2026) | | [**WFM02/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2026-january-wfm02-02/#q-1) | **Q1** Complex Numbers - Edexcel IAL FP2 Jan 2026 Q1 | FRQ | 1 part | 5 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=18cf125f-cf6e-4212-9ec4-8b8136867c90&question_id=0709d81c-daa6-4b13-962a-f120b9ca1c8c&source_detail=WFM02%2F02+January+2026) | | [**WFM02/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2026-january-wfm02-02/#q-7) | **Q7** Trigonometric Identities and Integration - Edexcel IAL FP2 Jan 2026 Q7 | FRQ | 4 parts ((a), (b), (c), (d)) | 14 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=18cf125f-cf6e-4212-9ec4-8b8136867c90&question_id=c6177e6f-099a-4825-afc4-ffb59262e4cc&source_detail=WFM02%2F02+January+2026) | | [**WFM02/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2025-june-wfm02-01/#q-1) | **Q1** Further Complex Numbers - Edexcel IAL FP2 2025 Jun Q1 | FRQ | 1 of 2 parts ((b)) | 3 of 6 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fbd49fae-6c93-46d7-afb1-0485494f9613&question_id=ca702971-0dfc-4062-8c60-97aac09ee174&source_detail=WFM02%2F01+June+2025) | | [**WFM02/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2025-june-wfm02-01/#q-9) | **Q9** Further Complex Numbers - Edexcel IAL FP2 2025 Jun Q9 | FRQ | 2 parts ((a), (b)) | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fbd49fae-6c93-46d7-afb1-0485494f9613&question_id=641ec108-1ac5-4011-9b09-c7ecd34bc1fb&source_detail=WFM02%2F01+June+2025) | | [**WFM02/02** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2025-june-wfm02-02/#q-8) | **Q8** Trigonometric Identities and Complex Numbers - Edexcel IAL FP2 June 2025 Q8 | FRQ | 3 parts ((a), (b), (c)) | 12 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=675001c8-6f4a-444e-adec-0d7ab65e7fa5&question_id=536fc85c-fa89-49f6-9a3f-0a8e704af32c&source_detail=WFM02%2F02+June+2025) | | [**WFM02/01** January 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2025-january-wfm02-01/#q-7) | **Q7** Trigonometric Identities and Polynomial Equations - Edexcel IAL FP2 Jan 2025 Q7 | FRQ | 4 parts ((a)(i), (a)(ii), (b), (c)) | 11 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0145a25d-abed-493c-b274-68e9ac20c81c&question_id=282f992e-b680-44c5-a737-f2dfb9f01ae9&source_detail=WFM02%2F01+January+2025) | | [**WFM02/01** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2024-june-wfm02-01/#q-9) | **Q9** De Moivre's Theorem and Trigonometric Identities - Edexcel IAL FP2 June 2024 Q9 | FRQ | 2 parts ((a), (b)) | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9db764ce-df60-4d7e-8e8e-9fbd0945dc3e&question_id=d84881f7-588d-44d0-b28b-369c9ff29206&source_detail=WFM02%2F01+June+2024) | | [**WFM02/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2024-january-wfm02-01/#q-2) | **Q2** Complex Numbers - Edexcel IAL FP2 Jan 2024 Q2 | FRQ | 2 of 4 parts ((b), (c)) | 5 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=50a13d55-9be9-4c26-853f-faf58a9a48a1&question_id=bdab726b-9535-4b32-a48b-aef64f51285f&source_detail=WFM02%2F01+January+2024) | | [**WFM02/01** June 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2023-june-wfm02-01/#q-2) | **Q2** Complex Numbers - Edexcel IAL FP2 June 2023 Q2 | FRQ | 1 of 3 parts ((a)) | 4 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ebce46b6-f8f6-43f0-8699-49b8311ffc55&question_id=f42c030f-c620-4471-8cc1-ff128734f186&source_detail=WFM02%2F01+June+2023) | | [**WFM02/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2023-january-wfm02-01/#q-7) | **Q7** De Moivre's Theorem and Trigonometric Identities - Edexcel IAL FP2 Jan 2023 Q7 | FRQ | 2 parts ((a), (b)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fd3ac8f6-4518-4de8-b9ba-dad4dcd59c75&question_id=4b03948a-88e6-4139-8403-355a598116e6&source_detail=WFM02%2F01+January+2023) | | [**WFM02/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2022-june-wfm02-01/#q-8) | **Q8** De Moivre's Theorem and Trigonometric Identities - Edexcel IAL FP2 2022 Jun Q8 | FRQ | 3 parts ((a), (b), (c)) | 14 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f9264622-0278-456d-b2fe-c1f14e888b10&question_id=d15b0935-d922-406e-9827-582cebb8e1bf&source_detail=WFM02%2F01+June+2022) | | [**WFM02/01** January 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2022-january-wfm02-01/#q-1) | **Q1** Complex Numbers - Edexcel IAL FP2 Jan 2022 Q1 | FRQ | 1 of 2 parts ((b)) | 4 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=bbdb0e0d-12d5-43a4-af5d-2f1cb9af6306&question_id=c5d76922-6cf5-4d36-a0f9-e7c7aa88e49d&source_detail=WFM02%2F01+January+2022) | | [**WFM02/01** October 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2021-october-wfm02-01/#q-1) | **Q1** Complex Numbers - Edexcel IAL FP2 October 2021 Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=75f8169f-6469-4a02-b20b-b560a27bbdd0&question_id=48097001-ef28-4d1a-8d01-a178d5139e53&source_detail=WFM02%2F01+October+2021) | | [**WFM02/01** June 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2021-june-wfm02-01/#q-7) | **Q7** de Moivre's Theorem and Trigonometric Identities - Edexcel IAL FP2 June 2021 Q7 | FRQ | 2 parts ((a), (b)) | 9 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=69ad47c5-8ce5-49f5-8efe-1e76771c8279&question_id=b9db9803-ca0a-45a1-aca7-66811c877da2&source_detail=WFM02%2F01+June+2021) | | [**WFM02/01** January 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2021-january-wfm02-01/#q-8) | **Q8** Complex Numbers and Trigonometric Identities - Edexcel IAL FP2 Jan 2021 Q8 | FRQ | 4 parts ((a), (b), (c), (d)) | 16 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=795587dc-c050-4d74-94a1-5666aab6197a&question_id=fe48c4dc-a79c-4be8-95f3-951280d5c07c&source_detail=WFM02%2F01+January+2021) | | [**WFM02/01** October 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2020-october-wfm02-01/#q-4) | **Q4** Complex Numbers and De Moivre's Theorem - Edexcel IAL FP2 2020 June Q4 | FRQ | 1 of 2 parts ((b)) | 5 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=49ccc10f-25ce-49f3-aded-cee45b397b52&question_id=76d2cc00-7fe8-4a4e-bd22-1be441af838d&source_detail=WFM02%2F01+October+2020) | | [**WFM02/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2019-june-wfm02-01/#q-5) | **Q5** Further complex numbers - Edexcel IAL FP2 2019 Jun Q5 | FRQ | 2 parts ((a), (b)) | 8 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5cb54cc5-026d-44cf-9830-5ea5c2e12512&question_id=7500d043-448a-4eda-8ee2-62ea2f541356&source_detail=WFM02%2F01+June+2019) | | [**WFM02/01** June 2018 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2018-june-wfm02-01/#q-7) | **Q7** De Moivre's Theorem and Trigonometric Identities - Edexcel IAL FP2 2018 Jun Q7 | FRQ | 2 parts ((a), (b)) | 11 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9dd10eb3-2db4-45de-b12b-1f0b303b1ff9&question_id=a4a4a613-ab31-4a51-b582-706352aa10cd&source_detail=WFM02%2F01+June+2018) | | [**WFM02/01** June 2017 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2017-june-wfm02-01/#q-1) | **Q1** Complex Numbers - Edexcel IAL FP2 June 2017 Q1 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6903615e-4d4b-462a-9c63-ab2b75a6d5ab&question_id=debd680c-87ab-4db7-b801-333528fbe66f&source_detail=WFM02%2F01+June+2017) | | [**WFM02/01** June 2017 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2017-june-wfm02-01/#q-8) | **Q8** Trigonometric Identities and de Moivre's Theorem - Edexcel IAL FP2 June 2017 Q8 | FRQ | 5 parts ((a)(i), (a)(ii), (b), (c), (d)) | 12 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6903615e-4d4b-462a-9c63-ab2b75a6d5ab&question_id=a77130fb-f7d5-477f-af84-aac4f75b26ae&source_detail=WFM02%2F01+June+2017) | | [**WFM02/01** June 2016 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2016-june-wfm02-01/#q-8) | **Q8** Trigonometric Identities and Integration - Edexcel IAL FP2 June 2016 Q8 | FRQ | 2 parts ((a), (b)) | 10 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=489211ec-0dee-4c24-bbe6-4544fb2d95a0&question_id=0d36a2b5-7e6a-4fb9-9ab7-01bb70a3b488&source_detail=WFM02%2F01+June+2016) | | [**WFM02/01** June 2015 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2015-june-wfm02-01/#q-8) | **Q8** Complex Numbers and de Moivre's Theorem - Edexcel IAL FP2 June 2015 Q8 | FRQ | 4 parts ((a), (b), (c), (d)) | 14 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=32c563ef-83c8-456c-aafe-72e7eb88dee8&question_id=f21c0f0a-8e47-4303-8307-0eb350680312&source_detail=WFM02%2F01+June+2015) | | [**WFM02/01** June 2014 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/2014-june-wfm02-01/#q-3) | **Q3** Complex Numbers Roots - Edexcel IAL FP2 June 2014 Q3 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=95cbab5e-7fc1-42e6-9579-add67b84a3d9&question_id=1ea27b41-e731-4f16-a847-000ccdb67138&source_detail=WFM02%2F01+June+2014) | ## Related topic questions in Further complex numbers - [3.1 Euler's relation $e^{i\theta}=cos~\theta+i~sin~\theta.$](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-1-euler-s-relation-e-i-theta-cos-theta-i-sin-theta/) — 10 question items · 6 papers — 31 marks · 2014–2025 - [3.3 Loci and regions in the Argand diagram.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-3-loci-and-regions-in-the-argand-diagram/) — 22 question items · 13 papers — 79 marks · 2014–2026 - [3.4 Elementary transformations from the z-plane to the w-plane.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-4-elementary-transformations-from-the-z-plane-to-the-w-plane/) — 27 question items · 18 papers — 131 marks · 2014–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 24 question stems cover this subtopic across 21 papers, but only 54 tagged parts and 204 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page. **Which papers include this subtopic?** The table lists every matching session from 2014–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available. **Why can one question appear under several subtopics?** The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement. **Can I practise these questions with AI marking?** Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-2-wfm02/further-complex-numbers/3-2-de-moivre-s-theorem-and-its-application-to-trigonometric-identities-and-to-roots/