# 9709 P1 Trigonometry Topic Questions > CIE IAL 9709 P1: every Trigonometry topic question from 49 papers (2020–2026), grouped by syllabus point. 154 questions, 471 marks, with direct links into… - Canonical HTML: https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/ - Markdown mirror: https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/index.md --- CIE IAL · Mathematics · 9709 P1 · A Level Every 9709 P1 Trigonometry topic question from the 2020–2027 syllabus, drawn from 49 papers (2020–2026) and grouped by syllabus point. Each row opens a page listing the exact question numbers, marks and a direct link into the paper. These are questions by topic, not full papers, so you can revise one topic at a time. - 9709 P1 - 5 subtopics - 154 topic questions - 49 papers - 471 tagged marks - [Back to Trigonometry](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/) - [All paper codes](https://www.examsci.com/topics/) Core finding **find all the solutions of simple trigonometrical equations lying in a… is the most frequently assessed subtopic in Trigonometry, with 61 topic questions and 211 marks across 43 papers.** use the identities … and … follows with 54 topic questions and 183 marks. The topic contains 5 subtopics, 154 topic questions and 471 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table. ## Topic question count and mark distribution Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total. ### Questions by subtopic question items - [• 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/) (43 papers) — 61 · 35.3% - [• 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/) (36 papers) — 54 · 31.2% - [• sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians)](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/) (16 papers) — 27 · 15.6% - [• 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/) (14 papers) — 21 · 12.1% - [• 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/) (9 papers) — 10 · 5.8% ### Marks by subtopic marks - [• 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/) (43 papers) — 211 · 39.3% - [• 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/) (36 papers) — 183 · 34.1% - [• sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians)](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/) (16 papers) — 57 · 10.6% - [• 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/) (14 papers) — 57 · 10.6% - [• 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/) (9 papers) — 29 · 5.4% ## Subtopic comparison matrix Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list. | Subtopic | Topic questions | Papers | Marks | Years | | | --- | --- | --- | --- | --- | --- | | **[• 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 | 43 | 211 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/find-all-the-solutions-of-simple-trigonometrical-equations-lying-in-a-specified/) | | **[• sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians)](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/)** | 27 | 16 | 57 | 2020–2025 | [Open topic questions](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/) | | **[• 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 | 14 | 57 | 2020–2026 | [Open topic questions](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/) | | **[• 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 | 36 | 183 | 2020–2026 | [Open topic questions](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/) | | **[• 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 | 9 | 29 | 2020–2026 | [Open topic questions](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/) | ## Browse every topic question - [• 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 - [• sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians)](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/) — 27 question items · 16 papers — 57 marks · 2020–2025 - [• 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 ## Other topics in 9709 P1 - [Circular measure 102 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/circular-measure/) - [Coordinate geometry 186 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/coordinate-geometry/) - [Differentiation 183 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/differentiation/) - [Functions 218 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/functions/) - [Integration 100 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/integration/) - [Quadratics 182 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/quadratics/) - [Series 198 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/series/) ## Topic question rules and edge cases **How many subtopics does Trigonometry contain?** This page lists 5 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions. **How are the subtopic question and mark totals calculated?** A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them. **Why do some subtopics have no numbered prefix?** Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically. **Is the LaTeX rendered without JavaScript?** Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/cie-ial/mathematics/9709-p1/trigonometry/