# 9709 P2 Trigonometry Topic Questions

> CIE IAL 9709 P2: every Trigonometry topic question from 49 papers (2020–2026), grouped by syllabus point. 165 questions, 630 marks, with direct links into…

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CIE IAL · Mathematics · 9709 P2 · A Level

Every 9709 P2 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 P2
- 2 subtopics
- 165 topic questions
- 49 papers
- 630 tagged marks
- [Back to Trigonometry](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**use trigonometrical identities for the simplification and exact… is the most frequently assessed subtopic in Trigonometry, with 107 topic questions and 414 marks across 38 papers.** understand the relationship of the secant, cosecant and… follows with 34 topic questions and 131 marks. The topic contains 2 subtopics, 165 topic questions and 630 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

- [• use trigonometrical identities for the simplification and exact evaluation of expressions, and in the course of solving equations, and select an identity or identities appropriate to the context, showing familiarity in particular with the use of – $\sec^2\theta\equiv1+\tan^2\theta$ and $\operatorname{cosec}^2\theta\equiv1+\cot^2\theta$ – the expansions of $\sin(A\pm B)$, $\cos(A\pm B)$ and $\tan(A\pm B)$ – the formulae for $\sin 2A$, $\cos 2A$ and $\tan 2A$ – the expression of $a\sin\theta+b\cos\theta$ in the forms $R\sin(\theta\pm\alpha)$ and $R\cos(\theta\pm\alpha)$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/use-trigonometrical-identities-for-the-simplification-and-exact-evaluation-of/) (38 papers) — 107 · 75.9%
- [• understand the relationship of the secant, cosecant and cotangent functions to cosine, sine and tangent, and use properties and graphs of all six trigonometric functions for angles of any magnitude](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/understand-the-relationship-of-the-secant-cosecant-and-cotangent-functions-to-cosine/) (27 papers) — 34 · 24.1%

### Marks by subtopic

marks

- [• use trigonometrical identities for the simplification and exact evaluation of expressions, and in the course of solving equations, and select an identity or identities appropriate to the context, showing familiarity in particular with the use of – $\sec^2\theta\equiv1+\tan^2\theta$ and $\operatorname{cosec}^2\theta\equiv1+\cot^2\theta$ – the expansions of $\sin(A\pm B)$, $\cos(A\pm B)$ and $\tan(A\pm B)$ – the formulae for $\sin 2A$, $\cos 2A$ and $\tan 2A$ – the expression of $a\sin\theta+b\cos\theta$ in the forms $R\sin(\theta\pm\alpha)$ and $R\cos(\theta\pm\alpha)$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/use-trigonometrical-identities-for-the-simplification-and-exact-evaluation-of/) (38 papers) — 414 · 76.0%
- [• understand the relationship of the secant, cosecant and cotangent functions to cosine, sine and tangent, and use properties and graphs of all six trigonometric functions for angles of any magnitude](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/understand-the-relationship-of-the-secant-cosecant-and-cotangent-functions-to-cosine/) (27 papers) — 131 · 24.0%

## 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 | |
| --- | --- | --- | --- | --- | --- |
| **[• understand the relationship of the secant, cosecant and cotangent functions to cosine, sine and tangent, and use properties and graphs of all six trigonometric functions for angles of any magnitude](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/understand-the-relationship-of-the-secant-cosecant-and-cotangent-functions-to-cosine/)** | 34 | 27 | 131 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/understand-the-relationship-of-the-secant-cosecant-and-cotangent-functions-to-cosine/) |
| **[• use trigonometrical identities for the simplification and exact evaluation of expressions, and in the course of solving equations, and select an identity or identities appropriate to the context, showing familiarity in particular with the use of – $\sec^2\theta\equiv1+\tan^2\theta$ and $\operatorname{cosec}^2\theta\equiv1+\cot^2\theta$ – the expansions of $\sin(A\pm B)$, $\cos(A\pm B)$ and $\tan(A\pm B)$ – the formulae for $\sin 2A$, $\cos 2A$ and $\tan 2A$ – the expression of $a\sin\theta+b\cos\theta$ in the forms $R\sin(\theta\pm\alpha)$ and $R\cos(\theta\pm\alpha)$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/use-trigonometrical-identities-for-the-simplification-and-exact-evaluation-of/)** | 107 | 38 | 414 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/use-trigonometrical-identities-for-the-simplification-and-exact-evaluation-of/) |

## Browse every topic question

- [• understand the relationship of the secant, cosecant and cotangent functions to cosine, sine and tangent, and use properties and graphs of all six trigonometric functions for angles of any magnitude](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/understand-the-relationship-of-the-secant-cosecant-and-cotangent-functions-to-cosine/) — 34 question items · 27 papers — 131 marks · 2020–2026
- [• use trigonometrical identities for the simplification and exact evaluation of expressions, and in the course of solving equations, and select an identity or identities appropriate to the context, showing familiarity in particular with the use of – $\sec^2\theta\equiv1+\tan^2\theta$ and $\operatorname{cosec}^2\theta\equiv1+\cot^2\theta$ – the expansions of $\sin(A\pm B)$, $\cos(A\pm B)$ and $\tan(A\pm B)$ – the formulae for $\sin 2A$, $\cos 2A$ and $\tan 2A$ – the expression of $a\sin\theta+b\cos\theta$ in the forms $R\sin(\theta\pm\alpha)$ and $R\cos(\theta\pm\alpha)$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/trigonometry/use-trigonometrical-identities-for-the-simplification-and-exact-evaluation-of/) — 107 question items · 38 papers — 414 marks · 2020–2026

## Other topics in 9709 P2

- [Algebra 200 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/algebra/)
- [Differentiation 139 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/differentiation/)
- [Integration 120 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/integration/)
- [Logarithmic and exponential functions 125 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/logarithmic-and-exponential-functions/)
- [Numerical solution of equations 113 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p2/numerical-solution-of-equations/)

## Topic question rules and edge cases

**How many subtopics does Trigonometry contain?**

This page lists 2 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.

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