CIE IAL · Mathematics · 9709 P1 · A Level

9709 P1 Trigonometry Topic Questions

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 All paper codes

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) 43 papers

6135.3%

• use the identities

\frac{s i n θ}{c o s θ} \equiv tan θ

and

sin^{2} θ + cos^{2} θ \equiv 1

36 papers

5431.2%

• sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians) 16 papers

2715.6%

• use the exact values of the sine, cosine and tangent of 30°, 45°, 60°, and related angles 14 papers

2112.1%

• use the notations

sin^{- 1} x

cos^{- 1} x

tan^{- 1} x

to denote the principal values of the inverse trigonometric relations 9 papers

105.8%

Marks by subtopic

marks

• find all the solutions of simple trigonometrical equations lying in a specified interval (general forms of solution are not included) 43 papers

21139.3%

• use the identities

\frac{s i n θ}{c o s θ} \equiv tan θ

and

sin^{2} θ + cos^{2} θ \equiv 1

36 papers

18334.1%

• sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians) 16 papers

5710.6%

• use the exact values of the sine, cosine and tangent of 30°, 45°, 60°, and related angles 14 papers

5710.6%

• use the notations

sin^{- 1} x

cos^{- 1} x

tan^{- 1} x

to denote the principal values of the inverse trigonometric relations 9 papers

295.4%

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)	61	43	211	2020–2026	Open topic questions
• sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians)	27	16	57	2020–2025	Open topic questions
• 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
• use the identities $\frac{s i n θ}{c o s θ} \equiv tan θ$ and $sin^{2} θ + cos^{2} θ \equiv 1$	54	36	183	2020–2026	Open topic questions
• use the notations $sin^{- 1} x$ , $cos^{- 1} x$ , $tan^{- 1} x$ to denote the principal values of the inverse trigonometric relations	10	9	29	2020–2026	Open topic questions

Browse every topic question

• find all the solutions of simple trigonometrical equations lying in a specified interval (general forms of solution are not included) 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) 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 21 question items · 14 papers 57 marks · 2020–2026 • use the identities $\frac{s i n θ}{c o s θ} \equiv tan θ$ and $sin^{2} θ + cos^{2} θ \equiv 1$ 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 10 question items · 9 papers 29 marks · 2020–2026

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.