Mathematics / Topic coverage

Trigonometry

Equation solving + inverse trig principal values — often a matching/list separator.

Weight mediumIntensity Core · weeklyTrend Stable300-target 10 /100medium

Path to 300

Mark budget for this portion

At ~10.3% of math weight, this portion should reliably deliver ~10 of your 100 math marks — treat misses here as rank-droppers.

7.5Floor marks

10Target marks

11.4Stretch marks

10.3%Of subject weight

100Subject target

At a glance

Coverage metrics

25Tagged questions

10.3%Of Mathematics

3.57Average / year

2024Peak year (7 Q)

7/7Years present

Official · 2026

Syllabus map for this portion

Full Mathematics syllabus →

Maps to Trigonometry unit including inverse trig principal values.

Must cover from syllabus

General solution of trig equations
Multiple/sub-multiple angle toolkit
Inverse trig principal values

Gaps / exclusions to watch

Periodicity/graph reading questions

Unit 01

Trigonometry

medium

Exam focusGeneral solutions; inverse trig principal values; joins with complex and calculus.

Syllabus points

Trig functions: periodicity and graphs
Addition/subtraction; multiple and sub-multiple angle formulae
General solution of trigonometric equations
Inverse trigonometric functions (principal value) and elementary properties

Do / check

Write principal range of inverse trig before solving
Convert to sin/cos single form for equations

2020–2026

Year-wise appearance

Counts of tagged questions for this topic each year.

202

213

224

234

247

253

262

Reading the pattern

Trigonometry accounts for ~10.3% of tagged math questions (2020–2026).
Trend signal: stable (early-window avg 3.0/yr vs recent avg 4.0/yr).
Appears in 7/7 tagged years; peak 2024 (7 Q), low 2020 (2 Q).
Dominant subtopics: Trigonometric Equations (18), Inverse Trigonometry (6), Triangle/Trigonometry (1).
Question-type mix: Numerical 44.0%, Single correct 24.0%, Multi correct 16.0%, Matching 16.0%.

Internal breakdown

Subtopic coverage

Start with the top subtopics — they usually carry most of this portion’s weight.

Trigonometric Equations18 · 72%
Inverse Trigonometry6 · 24%
Triangle/Trigonometry1 · 4%

Subtopic	Count	Share	Years (count)
Trigonometric Equations	18	72%	2020·1 2021·2 2022·3 2023·4 2024·6 2025·1 2026·1
Inverse Trigonometry	6	24%	2021·1 2022·1 2024·1 2025·2 2026·1
Triangle/Trigonometry	1	4%	2020·1

Exam form

Type & difficulty mix

Question types

Numerical — 11 questions (44%)
Single correct — 6 questions (24%)
Multi correct — 4 questions (16%)
Matching — 4 questions (16%)

Difficulty (heuristic)

M — 15 questions
H — 10 questions

Use for planning load only — not an official difficulty label.

Focused study

Plan for this portion

Must know

General solutions & interval counting
Inverse trig range adjustments
sinx+cosx = √2 sin(x+π/4) reductions

Common traps

Losing solutions in a closed interval
Wrong principal value for cot⁻¹/tan⁻¹ of negative args

Weekly drill checklist

2 equation-counting problems
1 inverse trig compound
1 join with calculus/complex

Prerequisite chain

Identities→equations→inverse trig→applications

Often joins with

CalculusAlgebra (complex)Coordinate Geometry

Paper pointers

Sample tagged questions

Use these as deliberate practice targets from past papers.

Year	Paper	Q	Subtopic	Type	Diff
2020	P1	Q10	Triangle/Trigonometry	MC	H
2020	P1	Q16	Trigonometric Equations	NUM	M
2021	P1	Q15	Inverse Trigonometry	MC	H
2021	P1	Q18	Trigonometric Equations	NUM	M
2021	P2	Q2	Trigonometric Equations	MC	H
2022	P1	Q1	Inverse Trigonometry	NUM	M

Connections

Related mixed joins

Where this topic must connect with another concept in one stem.

Mathematics2022 · Paper 1 · Q1–Q2numerical

Inverse trig NUM + trig equation NUM

Inverse trigonometry+Trigonometric equations+Numerical answers

Knowledge bridge

Step 1: reduce inverse-trig expressions with principal-value care. Step 2: solve the neighbouring trig equation in the stated interval. Step 3: enter integers carefully — range mistakes are common.

Why it feels hard

Heavy NUM opening stresses accuracy before you are warm.

What to practise

Start Math mocks with a 10-minute trig warm-up when the paper is NUM-heavy.

Open 2022 year review →

Mathematics

Other portions

Algebra Calculus Coordinate Geometry Vectors & 3D

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