# Topic Questions: • sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians) — 9709 P1 Trigonometry

> 27 9709 P1 Trigonometry topic questions (57 marks) on sketch and use graphs of the sine, cosine and… — 16 papers, 2020–2025. Open the exact question in the…

- Canonical HTML: https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/sketch-and-use-graphs-of-the-sine-cosine-and-tangent-functions-for-angles-of-any-size/
- Markdown mirror: https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/sketch-and-use-graphs-of-the-sine-cosine-and-tangent-functions-for-angles-of-any-size/index.md

---

CIE IAL · Mathematics · 9709 P1 · Trigonometry

27 9709 P1 Trigonometry topic questions are tagged to this syllabus point across 16 papers (2020–2025). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.

- 27 topic questions
- 16 papers
- 57 tagged marks
- 17.5% of topic questions
- 12.1% of topic marks
- 2020–2025
- Syllabus 2020–2027
- [All 9709 P1 Trigonometry topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**This Trigonometry syllabus point appears in 16 9709 P1 papers across 2020–2025, contributing 27 topic questions and 57 marks.** The most recent appearance is 9709/12 October/November 2025. That equals 17.5% of the 154 topic questions and 12.1% of the 471 marks tagged to Trigonometry. 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 |
| --- | --- | --- | --- | --- | --- | --- |
| [**9709/12** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-october-november-9709-12/#q-6) | **Q6** Trigonometric Graph and Equations - CIE A-Level Maths 2025 Nov Paper 12 Q6 | FRQ | 1 of 4 parts ((a)) | 2 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c80cfa73-10a0-4c4a-a902-9f861759760f&question_id=e33916e0-860c-4edb-9f40-f6aea61eaa06&source_detail=9709%2F12+October%2FNovember+2025) |
| [**9709/12** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-may-june-9709-12/#q-5) | **Q5** Trigonometric Graph and Intersection - CIE 9709 Pure Mathematics 1 2025 Jun Paper 12 Q5 | FRQ | 3 parts ((a), (b), (c)) | 5 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=67393ac1-93c5-4264-b8b5-4a571c09a650&question_id=ab6493ee-419f-442e-8453-8ed60bd8bccf&source_detail=9709%2F12+May%2FJune+2025) |
| [**9709/15** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2025-may-june-9709-15/#q-9) | **Q9** Trigonometric Function Transformations and Composites - CIE A-Level Mathematics 2025 Jun Paper 15 Q9 | FRQ | 1 of 4 parts ((b)) | 4 of 13 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ec3e11d6-9d88-4ea1-b566-ffbae1af064a&question_id=6e413a34-1c4a-4028-a72e-038e58fa2f95&source_detail=9709%2F15+May%2FJune+2025) |
| [**9709/12** October/November 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-october-november-9709-12/#q-1) | **Q1** Trigonometric Graph Parameters - CIE A-Level Maths 2024 Nov Paper 12 Q1 | FRQ | 3 parts ((a), (b)(i), (b)(ii)) | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=724ea49a-6892-4803-a02f-4c173d9c5a72&question_id=254ec4d2-1b5e-4dd2-8bb7-96c319bb309f&source_detail=9709%2F12+October%2FNovember+2024) |
| [**9709/11** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-may-june-9709-11/#q-2) | **Q2** Trigonometric Function Transformations - CIE Pure Mathematics 1 2024 Jun Q2 | FRQ | 1 of 2 parts ((a)) | 4 of 6 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9f870f3c-54af-497e-af82-560f2f9cab32&question_id=2b1e6a39-a95b-4cbb-ab48-18dec885be22&source_detail=9709%2F11+May%2FJune+2024) |
| [**9709/13** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-may-june-9709-13/#q-2) | **Q2** Trigonometric Graph Features - CIE 9709 s24 qp 13 Q2 | FRQ | 1 of 2 parts ((a)) | 3 of 5 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a06c8091-44ae-4ff0-955a-a1f81df66b39&question_id=3a7d8035-08c4-4806-b5a9-3485f98b232e&source_detail=9709%2F13+May%2FJune+2024) |
| [**9709/12** March 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2024-march-9709-12/#q-2) | **Q2** Transformations of Sine Curve - CIE Pure Mathematics 1 2024 March Paper 12 Q2 | FRQ | 1 of 2 parts ((a)) | 1 of 4 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=4541b350-a918-4b56-b9b9-6798debad1f7&question_id=e9ff3888-309c-422e-9bd5-78b3bc5cdf81&source_detail=9709%2F12+March+2024) |
| [**9709/13** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-october-november-9709-13/#q-8) | **Q8** Trigonometric Graph and Transformations - CIE A-Level Maths 2023 Nov Paper 13 Q8 | FRQ | 1 of 2 parts ((a)) | 2 of 5 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=aeb276ad-6397-48ef-86e8-e2cc32729b15&question_id=d3c40a72-fe49-41ef-aab6-228b9fcb2492&source_detail=9709%2F13+October%2FNovember+2023) |
| [**9709/11** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2023-may-june-9709-11/#q-7) | **Q7** Sine Curve Transformation and Intersection - CIE 9709 Pure Mathematics June 2023 Paper 11 Q7 | FRQ | 2 of 3 parts ((a), (b)) | 4 of 5 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0dc71803-e90c-4c78-aca9-ca1013b0ad45&question_id=bfc08744-a364-46d5-b132-a2a9a5a82bd1&source_detail=9709%2F11+May%2FJune+2023) |
| [**9709/11** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-may-june-9709-11/#q-8) | **Q8** Trigonometric Transformations and Exact Solutions - CIE 9709 s22 qp 11 Q8 | FRQ | 1 of 2 parts ((a)) | 5 of 8 on the paper | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=13d1cb95-4ad2-4921-a6af-70e64afc07b9&question_id=e8f5082a-bfae-4d27-90c5-f0b737dbfd45&source_detail=9709%2F11+May%2FJune+2022) |
| [**9709/13** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2022-may-june-9709-13/#q-2) | **Q2** Trigonometric Graph Transformations - CIE Pure Mathematics 2022 Jun Paper 13 Q2 | FRQ | 3 parts ((a), (b), (c)) | 3 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=90bad8f3-9168-4467-ba03-80154a74af3f&question_id=38a366b3-6d1e-47f6-8d59-dea6d0ca7539&source_detail=9709%2F13+May%2FJune+2022) |
| [**9709/11** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-october-november-9709-11/#q-5) | **Q5** Trigonometric Function Graph and Line Intersections - CIE 9709 Pure Mathematics 2021 Nov Paper 11 Q5 | FRQ | 3 parts ((a), (b)(i), (b)(ii)) | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=a3a8f7c1-53b0-41e7-a3ba-261116294db7&question_id=d3c8a01f-73a8-40cd-94e2-23175bd0ccb7&source_detail=9709%2F11+October%2FNovember+2021) |
| [**9709/11** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2021-may-june-9709-11/#q-4) | **Q4** Tangent Graph Transformation - CIE 9709 P1 2021 Jun Q4 | FRQ | 1 part | 3 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c82991d4-eca8-4d00-8838-22d687973d23&question_id=c4c66c7b-fb36-42b7-8bb7-7d96e0ff7145&source_detail=9709%2F11+May%2FJune+2021) |
| [**9709/12** October/November 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2020-october-november-9709-12/#q-11) | **Q11** Trigonometric Function Transformations and Intersection - CIE 9709 Nov 2020 Paper 12 Q11 | FRQ | 2 of 7 parts ((a), (b)) | 4 of 11 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f4ff68c4-3b93-4e28-8283-1fff16750c61&question_id=15bd3f04-e799-4860-a17c-0e8f09bf3a42&source_detail=9709%2F12+October%2FNovember+2020) |
| [**9709/11** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2020-may-june-9709-11/#q-4) | **Q4** Cosine Function Transformations - CIE Pure Mathematics 2020 Jun Paper 11 Q4 | FRQ | 1 of 3 parts ((a)) | 2 of 5 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=2a32622e-5734-4055-b968-5b1e651337c0&question_id=5994a6a5-a943-41c5-8e59-a759c946342d&source_detail=9709%2F11+May%2FJune+2020) |
| [**9709/12** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p1/2020-may-june-9709-12/#q-9) | **Q9** Trigonometric Function Ranges and Transformations - CIE P1 2020 Jun Q9 | FRQ | 2 of 3 parts ((a), (b)) | 5 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9275aff7-1c76-429c-8092-211f890344a0&question_id=0b903255-bb30-4b4a-b850-236da6faccbc&source_detail=9709%2F12+May%2FJune+2020) |

## Related topic questions in Trigonometry

- [• find all the solutions of simple trigonometrical equations lying in a specified interval (general forms of solution are not included)](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/find-all-the-solutions-of-simple-trigonometrical-equations-lying-in-a-specified/) — 61 question items · 43 papers — 211 marks · 2020–2026
- [• use the exact values of the sine, cosine and tangent of 30°, 45°, 60°, and related angles](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/use-the-exact-values-of-the-sine-cosine-and-tangent-of-30-45-60-and-related-angles/) — 21 question items · 14 papers — 57 marks · 2020–2026
- [• use the identities $\frac{\sin\theta}{\cos\theta}\equiv\tan\theta$ and $\sin^2\theta+\cos^2\theta\equiv1$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/use-the-identities-frac-sin-theta-cos-theta-equiv-tan-theta-and-sin-2-theta-cos-2/) — 54 question items · 36 papers — 183 marks · 2020–2026
- [• use the notations $\sin^{-1}x$, $\cos^{-1}x$, $\tan^{-1}x$ to denote the principal values of the inverse trigonometric relations](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/use-the-notations-sin-1-x-cos-1-x-tan-1-x-to-denote-the-principal-values-of-the/) — 10 question items · 9 papers — 29 marks · 2020–2026

## Topic question rules and edge cases

**How many topic questions cover this syllabus point?**

16 question stems cover this subtopic across 16 papers, but only 27 tagged parts and 57 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 2020–2025. 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/cie-ial/mathematics/9709-p1/trigonometry/sketch-and-use-graphs-of-the-sine-cosine-and-tangent-functions-for-angles-of-any-size/