CIE IAL · Mathematics · 9709 P3 · Trigonometry

Topic Questions: • 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 – and – the expansions of , and – the formulae for , and – the expression of in the forms and — 9709 P3 Trigonometry

104 9709 P3 Trigonometry topic questions are tagged to this syllabus point across 42 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.

104 topic questions 42 papers 440 tagged marks 75.4% of topic questions 82.1% of topic marks 2020–2026 Syllabus 2020–2027

Core finding

This Trigonometry syllabus point appears in 42 9709 P3 papers across 2020–2026, contributing 104 topic questions and 440 marks. The most recent appearance is 9709/31 May/June 2026. That equals 75.4% of the 138 topic questions and 82.1% of the 536 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.

PaperQuestionTypePartsMarksDifficultyPractice
9709/31May/June 2026 · CIE IAL Q5
Trigonometric Identity and Equation - CIE Pure Mathematics 2026 Q5
FRQ 2 parts ((a), (b)) 7 Medium Go to Practice Hub
9709/32May/June 2026 · CIE IAL Q5
Parametric Differentiation - CIE A Level Mathematics 2026 June Paper 32 Q5
FRQ 1 of 2 parts ((a)) 6
of 10 on the paper
Medium Go to Practice Hub
9709/32May/June 2026 · CIE IAL Q7
Trigonometric Differentiation and Quadratic Equation - CIE A Level Mathematics 2026 June Paper 32 Q7
FRQ 1 of 2 parts ((a)) 4
of 7 on the paper
Hard Go to Practice Hub
9709/33May/June 2026 · CIE IAL Q4
Trigonometric Equation Expansion - CIE Pure Mathematics 2026 Q4
FRQ 1 part 6 Medium Go to Practice Hub
9709/33May/June 2026 · CIE IAL Q5
Parametric Differentiation and Tangent Equation - CIE Pure Mathematics 2026 Q5
FRQ 1 of 2 parts ((a)) 5
of 9 on the paper
Medium Go to Practice Hub
9709/32March 2026 · CIE IAL Q3
Definite Integration of Trigonometric Product - CIE P3 2026 Mar Q3
FRQ 1 part 4 Medium Go to Practice Hub
9709/32March 2026 · CIE IAL Q9
Integration by Trigonometric Substitution - CIE P3 2026 Mar Q9
FRQ 1 of 2 parts ((b)) 5
of 9 on the paper
Medium Go to Practice Hub
9709/32March 2026 · CIE IAL Q10
Implicit Differentiation and Angle Between Tangents - CIE P3 2026 Mar Q10
FRQ 1 of 2 parts ((b)) 4
of 9 on the paper
Medium Go to Practice Hub
9709/31October/November 2025 · CIE IAL Q3
Trigonometric Form R cos(x - alpha) - CIE Pure Mathematics 2025 Nov Q3
FRQ 2 parts ((a), (b)) 8 Medium Go to Practice Hub
9709/32October/November 2025 · CIE IAL Q8
Multiple Angle Trigonometric Identity and Definite Integration - CIE A Level Maths 2025 Winter P32 Q8
FRQ 1 of 2 parts ((a)) 3
of 8 on the paper
Medium Go to Practice Hub
9709/33October/November 2025 · CIE IAL Q5
Trigonometric Identity and Equation - CIE Pure Mathematics 2025 Nov Paper 33 Q5
FRQ 2 parts ((a), (b)) 8 Medium Go to Practice Hub
9709/35October/November 2025 · CIE IAL Q6
Quotient Rule Differentiation and Stationary Points - CIE A Level Mathematics 2025 Winter Paper 35 Q6
FRQ 1 of 2 parts ((a)) 4
of 6 on the paper
Medium Go to Practice Hub
9709/35October/November 2025 · CIE IAL Q8
Trigonometric Expression R-sine Form - CIE A Level Mathematics 2025 Winter Paper 35 Q8
FRQ 2 parts ((a), (b)) 9 Medium Go to Practice Hub
9709/31May/June 2025 · CIE IAL Q7
Trigonometric Harmonic Form Expression - CIE Pure Mathematics 2025 Jun Paper 31 Q7
FRQ 2 parts ((a), (b)) 8 Medium Go to Practice Hub
9709/32May/June 2025 · CIE IAL Q4
Trigonometric Equation - CIE A-Level Pure Mathematics 2025 May/June Paper 32 Q4
FRQ 1 part 6 Medium Go to Practice Hub
9709/32May/June 2025 · CIE IAL Q7
R-harmonic Form Trigonometric Solution - CIE A-Level Pure Mathematics 2025 May/June Paper 32 Q7
FRQ 2 parts ((a), (b)) 7 Easy Go to Practice Hub
9709/32May/June 2025 · CIE IAL Q9
3D Vectors and Area of Triangle - CIE A-Level Pure Mathematics 2025 May/June Paper 32 Q9
FRQ 1 of 3 parts ((c)) 3
of 9 on the paper
Medium Go to Practice Hub
9709/32May/June 2025 · CIE IAL Q11
Stationary Points and Integration by Substitution - CIE A-Level Pure Mathematics 2025 May/June Paper 32 Q11
FRQ 1 of 2 parts ((a)) 6
of 11 on the paper
Hard Go to Practice Hub
9709/33May/June 2025 · CIE IAL Q3
Definite Trigonometric Integral - CIE A-Level Math 2025 Jun Paper 33 Q3
FRQ 1 part 4 Medium Go to Practice Hub
9709/33May/June 2025 · CIE IAL Q8
Trigonometric Identity Proof - CIE A-Level Math 2025 Jun Paper 33 Q8
FRQ 2 parts ((a), (b)) 8 Medium Go to Practice Hub
9709/35May/June 2025 · CIE IAL Q2
Trigonometric Equation in Cosecant and Cotangent - CIE A Level Mathematics
FRQ 1 part 5 Medium Go to Practice Hub
9709/32March 2025 · CIE IAL Q4
Trigonometric Quadratic Equation - CIE A-Level Math 2025 Mar Paper 32 Q4
FRQ 1 part 6 Medium Go to Practice Hub
9709/31October/November 2024 · CIE IAL Q4
Trigonometric Identity and Equation - CIE A-Level Maths 2024 Nov Paper 31 Q4
FRQ 2 parts ((a), (b)) 8 Medium Go to Practice Hub
9709/31October/November 2024 · CIE IAL Q6
Trigonometric Stationary Point and Area Under Curve - CIE A-Level Maths 2024 Nov Paper 31 Q6
FRQ 2 parts ((a), (b)) 8 Medium Go to Practice Hub
9709/33October/November 2024 · CIE IAL Q5
Trigonometric Identity and Equation - CIE A-Level Pure Mathematics 2024 Nov Q5
FRQ 2 parts ((a), (b)) 6 Medium Go to Practice Hub
9709/33October/November 2024 · CIE IAL Q7
Parametric Differentiation and Normal - CIE A-Level Pure Mathematics 2024 Nov Q7
FRQ 1 of 2 parts ((a)) 5
of 8 on the paper
Hard Go to Practice Hub
9709/33October/November 2024 · CIE IAL Q11
Stationary Point and Integration by Substitution - CIE A-Level Pure Mathematics 2024 Nov Q11
FRQ 1 of 2 parts ((a)) 5
of 11 on the paper
Hard Go to Practice Hub
9709/31May/June 2024 · CIE IAL Q5
Differentiation of Quotient with Exponential and Trigonometric Functions - CIE A-Level Maths 2024 Jun Paper 31 Q5
FRQ 1 part 7 Hard Go to Practice Hub
9709/31May/June 2024 · CIE IAL Q10
Implicit Differentiation and Integration by Parts - CIE A-Level Maths 2024 Jun Paper 31 Q10
FRQ 1 of 2 parts ((a)) 3
of 10 on the paper
Medium Go to Practice Hub
9709/32May/June 2024 · CIE IAL Q7
Trigonometric Identity Proof and Definite Integration - CIE A Level Mathematics 2024 Jun P32 Q7
FRQ 2 parts ((a), (b)) 9 Easy Go to Practice Hub
9709/33May/June 2024 · CIE IAL Q2
Stationary Point of Product Function - CIE A-Level Pure Mathematics
FRQ 1 part 5 Medium Go to Practice Hub
9709/33May/June 2024 · CIE IAL Q8
R-cos Harmonic Form Integration - CIE A-Level Pure Mathematics
FRQ 1 of 2 parts ((a)) 3
of 8 on the paper
Easy Go to Practice Hub
9709/32March 2024 · CIE IAL Q8
Harmonic Form Trigonometric Equation - CIE 9709 March 2024 Paper 32 Q8
FRQ 2 parts ((a), (b)) 9 Medium Go to Practice Hub
9709/32October/November 2023 · CIE IAL Q7
Triple Angle Cosine Proof and Equation - CIE 9709 2023 Nov Paper 32 Q7
FRQ 2 parts ((a), (b)) 8 Medium Go to Practice Hub
9709/32October/November 2023 · CIE IAL Q9
Stationary Point and Area under Curve - CIE 9709 2023 Nov Paper 32 Q9
FRQ 1 of 2 parts ((a)) 5
of 9 on the paper
Hard Go to Practice Hub
9709/33October/November 2023 · CIE IAL Q6
Trigonometric Identity and Equation - CIE A-Level Maths 2023 Q6
FRQ 2 parts ((a), (b)) 6 Medium Go to Practice Hub
9709/31May/June 2023 · CIE IAL Q4
Trigonometric Identity and Equation - CIE Pure Mathematics 2023 Q4
FRQ 2 parts ((a), (b)) 6 Medium Go to Practice Hub
9709/32May/June 2023 · CIE IAL Q4
Trigonometric Double Angle Equation - CIE Pure Mathematics 2023 Q4
FRQ 1 part 5 Medium Go to Practice Hub
9709/33May/June 2023 · CIE IAL Q6
Harmonic Form Transformation - CIE Pure Mathematics 3 2023 Jun Q6
FRQ 2 parts ((a), (b)) 8 Medium Go to Practice Hub
9709/32March 2023 · CIE IAL Q6
R-cosine Harmonic Form and Trigonometric Equation - CIE Pure Mathematics 2023 Mar Paper 32 Q6
FRQ 2 parts ((a), (b)) 7 Easy Go to Practice Hub
9709/32October/November 2022 · CIE IAL Q3
Stationary Point of Trigonometric Curve - CIE Pure Mathematics 2022 Nov Paper 32 Q3
FRQ 1 part 6 Medium Go to Practice Hub
9709/32October/November 2022 · CIE IAL Q4
R-cosine Harmonic Form and Equation - CIE Pure Mathematics 2022 Nov Paper 32 Q4
FRQ 2 parts ((a), (b)) 8 Easy Go to Practice Hub
9709/32October/November 2022 · CIE IAL Q6
Vector Scalar Product and Area - CIE Pure Mathematics 2022 Nov Paper 32 Q6
FRQ 1 of 2 parts ((b)) 4
of 8 on the paper
Easy Go to Practice Hub
9709/32October/November 2022 · CIE IAL Q9
Semicircle Segment Area and Iterative Process - CIE Pure Mathematics 2022 Nov Paper 32 Q9
FRQ 1 of 3 parts ((a)) 4
of 9 on the paper
Easy Go to Practice Hub
9709/33October/November 2022 · CIE IAL Q4
Parametric Differentiation and Trigonometric Simplification - CIE Pure Mathematics 3
FRQ 1 part 5 Medium Go to Practice Hub
9709/33October/November 2022 · CIE IAL Q7
Trigonometric R-Form Expression and Equation - CIE Pure Mathematics 3
FRQ 2 parts ((a), (b)) 8 Medium Go to Practice Hub
9709/31May/June 2022 · CIE IAL Q3
Trigonometric Equation with Double Angle Cotangent - CIE Pure Mathematics 2022 Jun Paper 31 Q3
FRQ 1 part 6 Medium Go to Practice Hub
9709/31May/June 2022 · CIE IAL Q8
Implicit Differentiation and Angle Between Tangents - CIE Pure Mathematics 2022 Jun Paper 31 Q8
FRQ 1 of 2 parts ((b)) 5
of 9 on the paper
Medium Go to Practice Hub
9709/32May/June 2022 · CIE IAL Q2
Trigonometric Equation with Double Angle - CIE Mathematics 2022 Jun Q2
FRQ 1 part 5 Medium Go to Practice Hub
9709/33May/June 2022 · CIE IAL Q2
Trigonometric Compound Angle Equation - CIE A Level Mathematics 2022 Jun Paper 33 Q2
FRQ 1 part 5 Medium Go to Practice Hub
9709/33May/June 2022 · CIE IAL Q4
Stationary Points of Exponential-Trigonometric Product - CIE A Level Mathematics 2022 Jun Paper 33 Q4
FRQ 2 parts ((a), (b)) 7 Medium Go to Practice Hub
9709/32March 2022 · CIE IAL Q4
Parametric Differentiation - CIE A Level Mathematics 2022 Mar Paper 32 Q4
FRQ 1 part 5 Medium Go to Practice Hub
9709/32March 2022 · CIE IAL Q5
Trigonometric Addition Formula Equations - CIE A Level Mathematics 2022 Mar Paper 32 Q5
FRQ 1 part 6 Medium Go to Practice Hub
9709/32March 2022 · CIE IAL Q11
Stationary Point and Integration by Substitution - CIE A Level Mathematics 2022 Mar Paper 32 Q11
FRQ 1 of 2 parts ((a)) 6
of 11 on the paper
Medium Go to Practice Hub
9709/32October/November 2021 · CIE IAL Q6
Trigonometric Product-to-Sum Integration - CIE A-Level Mathematics 2021 Nov Paper 32 Q6
FRQ 1 of 2 parts ((a)) 3
of 6 on the paper
Easy Go to Practice Hub
9709/32October/November 2021 · CIE IAL Q8
Trigonometric Identity and Equation - CIE A-Level Mathematics 2021 Nov Paper 32 Q8
FRQ 2 parts ((a), (b)) 7 Medium Go to Practice Hub
9709/32October/November 2021 · CIE IAL Q11
Curve Gradient and Iterative Root Finding - CIE A-Level Mathematics 2021 Nov Paper 32 Q11
FRQ 1 of 3 parts ((a)) 4
of 11 on the paper
Medium Go to Practice Hub
9709/33October/November 2021 · CIE IAL Q5
Trigonometric Equation Solving - CIE 9709 W21 P33 Q5
FRQ 1 part 5 Medium Go to Practice Hub
9709/33October/November 2021 · CIE IAL Q6
R-Cos Form Transformation - CIE 9709 W21 P33 Q6
FRQ 2 parts ((a), (b)) 7 Medium Go to Practice Hub
9709/31May/June 2021 · CIE IAL Q3
Trigonometric Identity and Equation - CIE Mathematics 2021 Jun Paper 31 Q3
FRQ 2 parts ((a), (b)) 6 Medium Go to Practice Hub
9709/31May/June 2021 · CIE IAL Q4
Double Angle Trigonometric Integration - CIE Mathematics 2021 Jun Paper 31 Q4
FRQ 1 of 2 parts ((a)) 2
of 6 on the paper
Easy Go to Practice Hub
9709/32May/June 2021 · CIE IAL Q6
Trigonometric Identity and Integration - CIE 9709 2021 Jun Paper 32 Q6
FRQ 1 of 2 parts ((a)) 3
of 7 on the paper
Medium Go to Practice Hub
9709/32May/June 2021 · CIE IAL Q8
Stationary Points of Exponential-Trigonometric Function - CIE 9709 2021 Jun Paper 32 Q8
FRQ 1 part 8 Hard Go to Practice Hub
9709/32May/June 2021 · CIE IAL Q10
Trapezium Area and Iterative Solution - CIE 9709 2021 Jun Paper 32 Q10
FRQ 1 of 4 parts ((a)) 3
of 10 on the paper
Easy Go to Practice Hub
9709/33May/June 2021 · CIE IAL Q5
Trigonometric Identity Proof and Solving - CIE 9709 2021 Jun Paper 33 Q5
FRQ 2 parts ((a), (b)) 7 Medium Go to Practice Hub
9709/32March 2021 · CIE IAL Q3
Trigonometric Identity and Quadratic Equation - CIE A-Level Mathematics 2021 March Paper 32 Q3
FRQ 1 part 6 Medium Go to Practice Hub
9709/32March 2021 · CIE IAL Q5
Harmonic Form Trigonometric Equation - CIE A-Level Mathematics 2021 March Paper 32 Q5
FRQ 2 parts ((a), (b)) 8 Easy Go to Practice Hub
9709/32March 2021 · CIE IAL Q10
Trigonometric Integration and Stationary Point - CIE A-Level Mathematics 2021 March Paper 32 Q10
FRQ 1 of 2 parts ((b)) 6
of 11 on the paper
Medium Go to Practice Hub
9709/31October/November 2020 · CIE IAL Q3
Parametric Differentiation with Double Angle Identities - CIE 9709 W20 P31 Q3
FRQ 1 part 5 Medium Go to Practice Hub
9709/31October/November 2020 · CIE IAL Q6
Harmonic Form Trigonometric Equation - CIE 9709 W20 P31 Q6
FRQ 2 parts ((a), (b)) 7 Easy Go to Practice Hub
9709/33October/November 2020 · CIE IAL Q3
Parametric Differentiation - CIE Pure Mathematics 2020 Nov Paper 33 Q3
FRQ 1 part 5 Medium Go to Practice Hub
9709/33October/November 2020 · CIE IAL Q6
R-cosine Form Trigonometric Equation - CIE Pure Mathematics 2020 Nov Paper 33 Q6
FRQ 2 parts ((a), (b)) 7 Easy Go to Practice Hub
9709/31May/June 2020 · CIE IAL Q3
Trigonometric Equation with Addition Formulae - CIE 2020 Jun Paper 31 Q3
FRQ 1 part 6 Medium Go to Practice Hub
9709/31May/June 2020 · CIE IAL Q6
Tangents to Circle and Iteration - CIE 2020 Jun Paper 31 Q6
FRQ 1 of 3 parts ((a)) 3
of 8 on the paper
Easy Go to Practice Hub
9709/33May/June 2020 · CIE IAL Q5
Trigonometric Compound and Double Angle Identities - CIE Pure Mathematics 2020 Jun Q5
FRQ 1 part 6 Hard Go to Practice Hub
9709/32March 2020 · CIE IAL Q5
Trigonometric Identity and Equation - CIE Pure Mathematics 3 March 2020 Q5
FRQ 2 parts ((a), (b)) 7 Medium Go to Practice Hub

Topic question rules and edge cases

How many topic questions cover this syllabus point?
76 question stems cover this subtopic across 42 papers, but only 104 tagged parts and 440 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 2020–2026. 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.