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Trigonometry PYQs (previous year questions) for JEE Advanced: Trigonometry (Mathematics) had 35 questions across the 22 official JEE Advanced papers we tagged (2016–2026), and appeared in 19 of them. Asked in 11 of 11 years. The concepts asked in the most papers: Inverse Trigonometric Functions, Properties of Triangles, Trigonometric Equations.
Year-wise question count
Asked in 11 of 11 years, with 2 papers each year.
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Inverse Trigonometric Functions | 10 | 10 | 2026, 2025, 2024, 2023, 2022, 2021, 2019, 2018 |
| Properties of Triangles | 8 | 7 | 2023, 2022, 2021, 2020, 2019, 2017 |
| Trigonometric Equations | 7 | 6 | 2026, 2022, 2019, 2018, 2016 |
| Trigonometric Identities | 3 | 3 | 2024, 2022, 2017 |
| Solution of Triangles | 2 | 2 | 2018, 2016 |
| Trigonometric Series | 2 | 2 | 2025, 2019 |
| Telescoping Sums | 1 | 1 | 2016 |
| Trigonometric Inequalities | 1 | 1 | 2020 |
| Trigonometric Products | 1 | 1 | 2026 |
How to practise Trigonometry PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Trigonometry questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.
JEE Advanced2026
- Q.4 (Paper 1) · MCQ · Inverse Trigonometric Functions: Evaluate an expression in principal values of inverse trig functions (official answer: C) PDF
- Q.12 (Paper 1) · Numerical · Trigonometric Products: Value from a product of terms 1 minus 2cos of angles over 11 (official answer: 3.9–4.1) PDF
- Q.14 (Paper 1) · Matching · Trigonometric Equations: Match number of solutions of trig equations in given intervals (official answer: B) PDF
- Q.15 (Paper 2) · Numerical · Trigonometric Equations: Number of intersection points of two exponential-trig curves (official answer: 11) PDF
JEE Advanced2025
JEE Advanced2024
JEE Advanced2023
- Q.8 (Paper 1) · Integer · Inverse Trigonometric Functions: Number of real solutions of an inverse tangent equation on intervals (official answer: 3) PDF
- Q.3 (Paper 2) · MCQ · Inverse Trigonometric Functions: Sum of solutions of an inverse tangent and cotangent equation (official answer: C) PDF
- Q.14 (Paper 2) · Numerical · Properties of Triangles: Value of (64a)^2 for an obtuse triangle with sides in AP (official answer: 1007.99–1008.01) PDF
- Q.15 (Paper 2) · Numerical · Properties of Triangles: Inradius of an obtuse triangle with sides in AP on a unit circle (official answer: 0.24–0.26) PDF
JEE Advanced2022
- Q.1 (Paper 1) · Numerical · Inverse Trigonometric Functions: Evaluate a combination of principal-value inverse trig terms involving pi (official answer: 2.35–2.37) PDF
- Q.15 (Paper 1) · Matching · Trigonometric Equations: Match trig equations on intervals with their number of solutions (official answer: B) PDF
- Q.1 (Paper 2) · Integer · Trigonometric Identities: Greatest integer of a squared trig sum given sin(a+b) and cos(a-b) (official answer: 1) PDF
- Q.9 (Paper 2) · MSQ · Properties of Triangles: Intervals containing a product from quadrilateral side and angle data (official answer: A, B) PDF
JEE Advanced2021
- Q.15 (Paper 1) · MSQ · Inverse Trigonometric Functions: Properties of a telescoping inverse cot series PDF
- Q.18 (Paper 1) · Integer · Properties of Triangles: Value of (cot A + cot C)/cot B for given sides PDF
- Q.2 (Paper 2) · MSQ · Properties of Triangles: Inequalities on angles and sides of a triangle PDF
JEE Advanced2020
JEE Advanced2019
- Q.8 (Paper 1) · MSQ · Properties of Triangles: Lengths and areas in a triangle with given sides and circumradius (official answer: A, C, D) PDF
- Q.3 (Paper 2) · MSQ · Trigonometric Series: Values and limit of a ratio of trigonometric sums (official answer: A, C, D) PDF
- Q.12 (Paper 2) · Numerical · Inverse Trigonometric Functions: Inverse secant of a sum of secant products (official answer: 0) PDF
- Q.15 (Paper 2) · Matching · Trigonometric Equations: Matching zero sets of composite trig functions with properties (official answer: B) PDF
- Q.16 (Paper 2) · Matching · Trigonometric Equations: Second matching of trig zero sets with properties (official answer: B) PDF
JEE Advanced2018
- Q.2 (Paper 1) · MSQ · Solution of Triangles: Properties of a triangle with two sides and included angle PDF
- Q.10 (Paper 1) · Numerical · Inverse Trigonometric Functions: Number of real solutions of an equation with inverse trig series PDF
- Q.13 (Paper 1) · Numerical · Trigonometric Equations: Ratio b/a when roots of a trig equation have given sum PDF
- Q.1 (Paper 2) · MSQ · Inverse Trigonometric Functions: Properties of a sum of inverse tangent terms PDF
JEE Advanced2017
JEE Advanced2016
- Q.39 (Paper 1) · MCQ · Trigonometric Equations: Sum of solutions of a sec-cosec-tan-cot equation in a set (official answer: C) PDF
- Q.45 (Paper 1) · MSQ · Solution of Triangles: Triangle area, circumradius and angle relations from side ratios (official answer: A, C, D) PDF
- Q.39 (Paper 2) · MCQ · Telescoping Sums: Sum of reciprocal products of sines (official answer: C) PDF
Trigonometry in other exams
The same chapter in other official papers we tagged: JEE Main (17 questions).
Other Mathematics chapters
- Sets, Relations and Functions PYQs
- Complex Numbers and Quadratic Equations PYQs
- Matrices and Determinants PYQs
- Permutations and Combinations PYQs
- Binomial Theorem PYQs
- Sequences and Series PYQs
- Limits, Continuity and Differentiability PYQs
- Integral Calculus PYQs
- Differential Equations PYQs
- Coordinate Geometry PYQs
- Three-Dimensional Geometry PYQs
- Vector Algebra PYQs
- Statistics and Probability PYQs
FAQ
How many Trigonometry questions come in JEE Advanced?
In the official papers we tagged: 4 in 2026, 2 in 2025, 2 in 2024, 4 in 2023, 4 in 2022, 3 in 2021, 2 in 2020, 5 in 2019, 4 in 2018, 2 in 2017 and 3 in 2016 (2 papers each year). That is 35 questions in all, about 9% of Mathematics.
Which Trigonometry topics repeat in JEE Advanced?
Asked in the most papers: Inverse Trigonometric Functions, Properties of Triangles, Trigonometric Equations. The concept table lists every one with its count.
Are these official JEE Advanced questions?
Yes. Every question is from an official JEE Advanced paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.