Learn

Sunday, 25 October

JEE Main · Maths · Class 11

Trigonometric Functions: JEE Main previous year questions

114 questions in 85 of the 108 JEE Main shifts Lumi analysed, asked in 8 of 8 years. Here is what this chapter tests and how.

Study this chapter
Questions
114
in 85 of 108 shifts · 8 of 8 years
Average a shift
1.0
of 25 Maths · 0.9 since 2024 -0.2
Typical range
0.6–1.3
questions a shift; fewest 0.5, most 1.7
Weighted estimate
0.9
model, recent years count more · about 3.7 marks
  • Typical range (fact)
  • Average a shift (fact)
  • Weighted estimate (model)

Questions are counted per shift, out of the 25 each subject has, in the shifts Lumi analysed; papers that offered 30 a subject (2017, 2021–2024) are scaled to 25. Typical range: the middle six of the eight years (2017, 2020–2026), leaving out the single highest and lowest year. The average and the range are historical fact. The weighted estimate is a model: each year's share, with recent years counting more (half-life three years), and chapters NTA dropped from the syllabus set near zero. It is a guide to effort, not a forecast of the paper.

What to do

How to spend time on Trigonometric Functions

Priority

Lower priority

One of the 7 Maths chapters that shared the last fifth of Maths questions in the 108 shifts analysed. How bands are set

Past questions
114in 85 of 108 shifts
Study plan gives it
18 hover 12 months; 13 h over 6
Study this chapter →

Ideas asked most often

  1. Quadratic Substitution in Trigonometry12×
  2. Values of Non-Standard Specific Angles6×
  3. Compound Angle Formulas5×
  4. Graphical Root Counting for Mixed Equations4×
  5. Sine Product Identity with 60 Degrees3×

126 of the 188 ideas in Lumi’s map of this chapter have not been asked or touched in the shifts analysed. Of its idea-tagged questions from 2024 on, 35% tested an idea not asked in an earlier year, so learn the whole chapter, not just the list above.

Within each subject, chapters in NTA's 2026 syllabus are ranked by their average questions a shift over all 8 years analysed (history, not the model). Going down that list, the chapters that together held the first half of the subject's questions are Must do; the next ones, up to 80%, are Should do; the rest are Lower priority.

Key findings

Trigonometric Functions at a glance

  1. 01

    65%

    of its 26 questions from 2024 on that Lumi matched to an idea tested one JEE Main had asked in an earlier year; 100% came from a topic asked in an earlier year.

  2. 02

    67%

    of the 188 ideas in Lumi's map of the chapter have not been asked or touched on in the shifts analysed.

  3. 03

    28%

    of its questions asked for a numerical answer, 0.9 times the Maths average.

  4. 04

    25%

    of its questions were rated hard, against 26% across all Maths questions in the same shifts.

Questions a shift, year by year

Out of the 25 Maths questions in a shift. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift.

0241.7’170.5’201.3’211.1’220.7’230.6’240.8’251.2’26

Raw count: 2017: 2 in 1 shift · 2020: 6 in 12 shifts · 2021: 36 in 24 shifts · 2022: 30 in 24 shifts · 2023: 10 in 12 shifts · 2024: 13 in 18 shifts · 2025: 6 in 8 shifts · 2026: 11 in 9 shifts.

Kind of question

SHARE OF QUESTIONS
  • Multi-step50%
  • Numerical answer28%
  • Application13%
  • Calculation7%
  • Data or graph2%

Most common asks: count solutions of trig equation in interval (22); height from angles of elevation (11); sum over solutions of trig equation in interval (3).

Profile

This chapter in numbers

Where it ranks, how steady it is, and what it costs to study.

Rank, all JEE chapters
#41
of 70 by weighted estimate
Rank in Maths
#14
of 21 chapters
Share of Maths
3.9%
of its questions, all shifts analysed
Busiest year
2017
1.7 questions a shift
Year to year
Some swing
varies by about 0.4 questions a shift
Long-run direction
-0.06
questions a shift, per year
Easy questions
6%
25% rated hard
Numerical answer
28%
0.9× the Maths rate
With a figure
2%
graph, diagram or structure
Study time
18 h
13 h on a 6-month plan
Marks per study hour
0.21
#63 of 70 chapters
Foundation for others
58%
of its ideas are used in other chapters

Difficulty, year by year

Each question rated easy, medium or hard. Each bar is that year’s split, so years compare directly; the number is the questions in that year’s analysed shifts (1 to 24 shifts a year).

  • 20172
  • 20206
  • 202136
  • 202230
  • 202310
  • 202413
  • 20256
  • 202611
  • Easy
  • Medium
  • Hard

What it asks you to do

SHARE OF QUESTIONS
  • Multi-step70%
  • Application17%
  • Calculation10%
  • Data or graph3%
  • Diagram reading1%

Coverage

How much of the chapter JEE Main has used

We split the chapter into 188 ideas. In the 108 shifts analysed, JEE Main built a question around 47 of them. Most of the chapter has never been the main idea of a question, so past questions alone leave most of it out.

Asked as the main idea
47
Touched on in a question
15
Never asked
126

Topics

What repeats, topic by topic

This chapter's questions per topic in each year's analysed shifts. The number is the count; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. 28 questions had no close topic in Lumi's map and count for the chapter only.

’17’20’21’22’23’24’25’26
013+questions in that year’s analysed shifts, shaded per shift
  • General Solutions

    As a topic: 42 questions in 7 of 8 years, most often single correct, 36% numerical answer.

  • Trigonometric Identities

    As a topic: 36 questions in 8 of 8 years, most often single correct, 22% numerical answer.

  • Properties of Triangles

    As a topic: 11 questions in 4 of 8 years, most often single correct, 36% numerical answer.

  • Maxima and Minima

    As a topic: 80 questions in 8 of 8 years, most often single correct, 26% numerical answer. Recent asks: integer values for trigonometric equation solvability; numerical: max of trig expression on interval; determine polynomial from extrema and limit.

Drill down

Topic, idea, question

Open a topic to see every idea JEE Main tested inside it, then open an idea to read the questions. Each row shows its 8 years.

  • Open41 · 36%211132553

    22 ideas inside

    • OpenRepeated12 · 29%23223
    • OpenRepeated4 · 10%
    • OpenRepeated3 · 7%2
    • OpenRepeated2 · 5%
    • OpenRepeated2 · 5%
    • OpenRepeated2 · 5%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
    • Open1 · 2%
  • Open32 · 28%298344
  • Open7 · 6%32
  • Open2 · 2%
  • Open1 · 1%
  • Open1 · 1%
  • Open1 · 1%
  • Open1 · 1%

Squares are the 8 years with analysed shifts, 2017 to 2026. A number is the questions that year when there is more than one; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. Share is of the level above.

Ideas

The exact ideas JEE Main has asked

Inside the topics, 43 different ideas were tested; 17 came more than once. These are the repeats, then the ideas new since 2024.

Dots are the 8 years with analysed shifts, 2017 to 2026.

Every question

All 114 Trigonometric Functions questions

Newest first, shift by shift. The newest 40 show their opening words; older ones name the idea they tested. Each opens with its options and the official answer.

JEE Main 202611 questions

  1. 2 Apr 2026, Shift 1 · Q11If sin⁡(π18)sin⁡(5π18)sin⁡(7π18)=K\sin\left(\frac{\pi}{18}\right)\sin\left(\frac{5\pi}{18}\right)\sin\left(\frac{7\pi}{18}\right)=K, then the value of…MediumSingle correct
  2. 2 Apr 2026, Shift 1 · Q12Let S={x∈[−π,π]:sin⁡x(sin⁡x+cos⁡x)=a,a∈Z}S=\{x \in [-\pi, \pi] : \sin x(\sin x+\cos x)=a, a \in \mathbb{Z}\}. Then n(S)n(S) is equal to :HardSingle correct
  3. 2 Apr 2026, Shift 2 · Q13Let P={θ∈[0,4π]:tan⁡2θ≠1}P = \{\theta \in [0, 4\pi]: \tan^2\theta \ne 1\} and…MediumSingle correct
  4. 2 Apr 2026, Shift 2 · Q16Two adjacent sides of a parallelogram PQRSPQRS are given by PQ⃗=j^+k^\vec{PQ} = \hat{j} + \hat{k} and PS⃗=i^−j^\vec{PS} = \hat{i} - \hat{j}. If the side…MediumSingle correct
  5. 4 Apr 2026, Shift 1 · Q23If A=sin⁡3∘cos⁡9∘+sin⁡9∘cos⁡27∘+sin⁡27∘cos⁡81∘A=\frac{\sin 3^\circ}{\cos 9^\circ}+\frac{\sin 9^\circ}{\cos 27^\circ}+\frac{\sin 27^\circ}{\cos 81^\circ} and…MediumNumerical value
  6. 4 Apr 2026, Shift 1 · Q24Let a⃗k=(tan⁡θk)i^+j^\vec{a}_k=(\tan\theta_k)\hat{i}+\hat{j} and b⃗k=i^−(cot⁡θk)j^\vec{b}_k=\hat{i}-(\cot\theta_k)\hat{j}, where θk=2k−1π2n+1\theta_k=\frac{2^{k-1}\pi}{2^n+1},…HardNumerical value
  7. 5 Apr 2026, Shift 1 · Q6Let tan⁡A\tan A, tan⁡B\tan B, where A,B∈(−π2,π2)A, B \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right), be the roots of the quadratic equation…MediumSingle correct
  8. 5 Apr 2026, Shift 1 · Q12The sum of all the integral values of pp such that the equation 3sin⁡2x+12cos⁡x−3=p3\sin^2 x + 12\cos x - 3 = p, x∈Rx \in \mathbb{R}, has at least one…MediumSingle correct
  9. 5 Apr 2026, Shift 2 · Q23If S={θ∈[−π,π]:cos⁡θcos⁡5θ2=cos⁡7θcos⁡7θ2}S=\left\{\theta \in [-\pi, \pi] : \cos\theta\cos\frac{5\theta}{2}=\cos 7\theta\cos\frac{7\theta}{2}\right\}, then n(S) is equal to…HardNumerical value
  10. 6 Apr 2026, Shift 1 · Q14Let S={θ∈(−2π,2π):cos⁡θ+1=3sin⁡θ}\mathrm{S}=\left\{\theta\in(-2\pi,2\pi):\cos\theta+1=\sqrt{3}\sin\theta\right\}. Then ∑θ∈Sθ\sum_{\theta\in \mathrm{S}}\theta is equal to:MediumSingle correct
  11. 8 Apr 2026, Shift 2 · Q21The sum of squares of all the real solutions of the equation log⁡(x+1)(2x2+5x+3)=4−log⁡(2x+3)(x2+2x+1)\log_{(x+1)}(2x^2 + 5x + 3) = 4 - \log_{(2x+3)}(x^2 + 2x + 1) is equal to…MediumNumerical value

JEE Main 20256 questions

  1. 2 Apr 2025, Shift 1 · Q3If θ∈[−2π,2π]\theta\in[-2\pi, 2\pi], then the number of solutions of 22cos⁡2θ+(2−6)cos⁡θ−3=02\sqrt{2}\cos^2\theta+(2-\sqrt{6})\cos\theta-\sqrt{3}=0, is equal to :MediumSingle correct
  2. 2 Apr 2025, Shift 2 · Q13If θ∈[−7π6,4π3]\theta \in \left[-\frac{7\pi}{6}, \frac{4\pi}{3}\right], then the number of solutions of…MediumSingle correct
  3. 3 Apr 2025, Shift 1 · Q10The number of solutions of the equation 2x+3tan⁡x=π2x + 3\tan x = \pi, x∈[−2π,2π]−{±π2,±3π2}x \in [-2\pi, 2\pi] - \left\{\pm\frac{\pi}{2}, \pm\frac{3\pi}{2}\right\} is:MediumSingle correct
  4. 3 Apr 2025, Shift 2 · Q13The number of solutions of the equation…HardSingle correct
  5. 7 Apr 2025, Shift 1 · Q1If for θ∈[−π3,0]\theta \in \left[-\frac{\pi}{3}, 0\right], the points…MediumSingle correct
  6. 7 Apr 2025, Shift 2 · Q14The number of solutions of the equation cos⁡2θcos⁡θ2+cos⁡5θ2=2cos⁡35θ2\cos 2\theta\cos\frac{\theta}{2}+\cos\frac{5\theta}{2}=2\cos^3\frac{5\theta}{2} in…HardSingle correct

JEE Main 202413 questions

  1. 5 Apr 2024, Shift 1 · Q20Suppose θ∈[0,π4]\theta\in\left[0,\frac{\pi}{4}\right] is a solution of 4cos⁡θ−3sin⁡θ=14\cos\theta-3\sin\theta=1. Then cos⁡θ\cos\theta is equal to :MediumSingle correct
  2. 5 Apr 2024, Shift 2 · Q21The number of solutions of sin⁡2x+(2+2x−x2)sin⁡x−3(x−1)2=0\sin^2 x + (2+2x-x^2)\sin x - 3(x-1)^2 = 0, where −π≤x≤π-\pi \leq x \leq \pi, is ________.HardNumerical value
  3. 6 Apr 2024, Shift 2 · Q30In a triangle ABCABC, BC=7BC=7, AC=8AC=8, AB=α∈NAB=\alpha\in\mathbb{N} and cos⁡A=23\cos A=\frac{2}{3}. If 49cos⁡(3C)+42=mn49\cos(3C)+42=\frac{m}{n}, where…MediumNumerical value
  4. 8 Apr 2024, Shift 1 · Q20If sin⁡x=−35\sin x=-\frac{3}{5}, where π<x<3π2\pi<x<\frac{3\pi}{2}, then 80(tan⁡2x−cos⁡x)80(\tan^2x-\cos x) is equal toEasySingle correct
  5. 8 Apr 2024, Shift 1 · Q21If the range of f(θ)=sin⁡4θ+3cos⁡2θsin⁡4θ+cos⁡2θf(\theta)=\frac{\sin^4\theta+3\cos^2\theta}{\sin^4\theta+\cos^2\theta}, θ∈R\theta\in\mathbb{R} is [α,β][\alpha,\beta], then…MediumNumerical value
  6. 8 Apr 2024, Shift 2 · Q20If the value of 3cos⁡36∘+5sin⁡18∘5cos⁡36∘−3sin⁡18∘\frac{3\cos 36^\circ + 5\sin 18^\circ}{5\cos 36^\circ - 3\sin 18^\circ} is a5−bc\frac{a\sqrt{5} - b}{c}, where a, b, c are…MediumSingle correct
  7. 9 Apr 2024, Shift 1 · Q20Let ∣cos⁡θcos⁡(60∘−θ)cos⁡(60∘+θ)∣≤18\left|\cos\theta\cos(60^\circ-\theta)\cos(60^\circ+\theta)\right|\le\frac{1}{8}, θ∈[0,2π]\theta\in[0,2\pi]. Then, the sum of all…MediumSingle correct
  8. 1 Feb 2024, Shift 2 · Q20The number of solutions of the equation 4sin⁡2x−4cos⁡3x+9−4cos⁡x=04\sin^2x-4\cos^3x+9-4\cos x=0; x∈[−2π,2π]x\in[-2\pi,2\pi] is :HardSingle correct
  9. 27 Jan 2024, Shift 1 · Q30Let the set of all a∈Ra\in\mathbf{R} such that the equation cos⁡2x+asin⁡x=2a−7\cos 2x+a\sin x=2a-7 has a solution be [p,q][p, q] and…HardNumerical value
  10. 29 Jan 2024, Shift 1 · Q20If α,−π2<α<π2\alpha,-\frac{\pi}{2}<\alpha<\frac{\pi}{2} is the solution of 4cos⁡θ+5sin⁡θ=14\cos\theta+5\sin\theta=1, then the value of tan⁡α\tan\alpha isMediumSingle correct
  11. 30 Jan 2024, Shift 1 · Q20If 2sin⁡3x+sin⁡2xcos⁡x+4sin⁡x−4=02\sin^3x+\sin2x\cos x+4\sin x-4=0 has exactly 3 solutions in the interval [0,nπ2]\left[0,\frac{n\pi}{2}\right], n∈Nn\in N, then the roots…HardSingle correct
  12. 30 Jan 2024, Shift 2 · Q11For α,β∈(0,π/2)\alpha, \beta \in (0, \pi/2), let 3sin⁡(α+β)=2sin⁡(α−β)3\sin(\alpha + \beta) = 2\sin(\alpha - \beta) and a real number kk be such that…MediumSingle correct
  13. 31 Jan 2024, Shift 2 · Q2The number of solutions, of the equation esin⁡x−2e−sin⁡x=2e^{\sin x}-2e^{-\sin x}=2, is :MediumSingle correct

JEE Main 202310 questions

  1. 6 Apr 2023, Shift 1 · Q19From the top A of a vertical wall AB of height 30 m, the angles of depression of the top P and bottom Q of a vertical tower PQ are…MediumSingle correct
  2. 6 Apr 2023, Shift 2 · Q30The value of tan⁡9∘−tan⁡27∘−tan⁡63∘+tan⁡81∘\tan 9^\circ-\tan 27^\circ-\tan 63^\circ+\tan 81^\circ is ___________.HardNumerical value
  3. 8 Apr 2023, Shift 2 · Q19The value of 36(4cos⁡29∘−1)(4cos⁡227∘−1)(4cos⁡281∘−1)(4cos⁡2243∘−1)36(4\cos^2 9^\circ - 1)(4\cos^2 27^\circ - 1)(4\cos^2 81^\circ - 1)(4\cos^2 243^\circ - 1) isHardSingle correct
  4. 10 Apr 2023, Shift 1 · Q1996cos⁡π33cos⁡2π33cos⁡4π33cos⁡8π33cos⁡16π3396\cos\frac{\pi}{33}\cos\frac{2\pi}{33}\cos\frac{4\pi}{33}\cos\frac{8\pi}{33}\cos\frac{16\pi}{33} is equal toMediumSingle correct
  5. 10 Apr 2023, Shift 2 · Q2Let S={x∈(−π2,π2):91−tan⁡2x+9tan⁡2x=10}S = \left\{x \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) : 9^{1-\tan^2 x} + 9^{\tan^2 x} = 10\right\} and…MediumSingle correct
  6. 10 Apr 2023, Shift 2 · Q30In the figure, θ1+θ2=π2\theta_1 + \theta_2 = \frac{\pi}{2} and 3 (BE)=4(AB)\sqrt{3}\,(BE) = 4(AB). If the area of ΔCAB\Delta CAB is 23−32\sqrt{3} - 3…HardNumerical valueHas a figure
  7. 11 Apr 2023, Shift 1 · Q16The number of elements in the set S={θ∈[0,2π]:3cos⁡4θ−5cos⁡2θ−2sin⁡6θ+2=0}S = \{\theta \in [0, 2\pi] : 3\cos^4\theta - 5\cos^2\theta - 2\sin^6\theta + 2 = 0\} isMediumSingle correct
  8. 11 Apr 2023, Shift 2 · Q19The angle of elevation of the top PP of a tower from the feet of one person standing due South of the tower is 45∘45^\circ and from the…MediumSingle correct
  9. 12 Apr 2023, Shift 1 · Q19In a triangle ABC, if cos⁡A+2cos⁡B+cos⁡C=2\cos A+2\cos B+\cos C=2 and the lengths of the sides opposite to the angles A and C are 33 and 77 respectively,…HardSingle correct
  10. 15 Apr 2023, Shift 1 · Q30If the line x=y=zx=y=z intersects the line xsin⁡A+ysin⁡B+zsin⁡C−18=0=xsin⁡2A+ysin⁡2B+zsin⁡2C−9x\sin A+y\sin B+z\sin C-18=0=x\sin 2A+y\sin 2B+z\sin 2C-9, where A,B,CA,B,C are the angles of a…HardNumerical value

JEE Main 202230 questions

  1. 25 Jul 2022, Shift 1 · Q18Modulus Trigonometric Equations · Easy · Single correct
  2. 25 Jul 2022, Shift 1 · Q19Open the question · Medium · Single correct
  3. 25 Jul 2022, Shift 2 · Q19Product of Cosines with Doubling Angles · Hard · Single correct
  4. 26 Jul 2022, Shift 1 · Q18Quadratic Substitution in Trigonometry · Hard · Single correct
  5. 26 Jul 2022, Shift 2 · Q25Simultaneous Trigonometric Equations · Medium · Numerical value
  6. 27 Jul 2022, Shift 1 · Q15Open the question · Hard · Single correct
  7. 27 Jul 2022, Shift 2 · Q18Open the question · Medium · Single correct
  8. 27 Jul 2022, Shift 2 · Q19Telescopic Trigonometric Series · Hard · Single correct
  9. 28 Jul 2022, Shift 2 · Q78Open the question · Hard · Single correct
  10. 28 Jul 2022, Shift 2 · Q87Tangent General Solution · Hard · Numerical value
  11. 29 Jul 2022, Shift 1 · Q11Open the question · Medium · Single correct
  12. 29 Jul 2022, Shift 1 · Q21Higher Power Reduction Identities · Hard · Numerical value
  13. 29 Jul 2022, Shift 2 · Q12AM-GM Inequality Bounds in Trig Equations · Medium · Single correct
  14. 30 Jul 2022, Shift 2 · Q79Open the question · Medium · Single correct
  15. 24 Jun 2022, Shift 1 · Q19Domain Restricted Solutions · Medium · Single correct
  16. 24 Jun 2022, Shift 2 · Q13Product-to-Sum Transformation · Medium · Single correct
  17. 25 Jun 2022, Shift 1 · Q3Inradius and Circumradius · Medium · Single correct
  18. 25 Jun 2022, Shift 1 · Q25Reciprocal Function Conversion · Medium · Numerical value
  19. 25 Jun 2022, Shift 2 · Q15Values of Non-Standard Specific Angles · Medium · Single correct
  20. 26 Jun 2022, Shift 1 · Q26Sine Product Identity with 60 Degrees · Hard · Numerical value
  21. 26 Jun 2022, Shift 2 · Q18Sine Product Identity with 60 Degrees · Easy · Single correct
  22. 27 Jun 2022, Shift 1 · Q18Trigonometric Sums via Roots of Unity · Medium · Single correct
  23. 27 Jun 2022, Shift 2 · Q19Values of Non-Standard Specific Angles · Hard · Single correct
  24. 28 Jun 2022, Shift 1 · Q19Open the question · Medium · Single correct
  25. 28 Jun 2022, Shift 2 · Q20Compound Angle Formulas · Easy · Single correct
  26. 29 Jun 2022, Shift 1 · Q24Quadratic Substitution in Trigonometry · Medium · Numerical value
  27. 29 Jun 2022, Shift 1 · Q25Graphical Root Counting for Mixed Equations · Medium · Numerical value
  28. 29 Jun 2022, Shift 2 · Q18Open the question · Medium · Single correct
  29. 29 Jun 2022, Shift 2 · Q24Quadratic Substitution in Trigonometry · Medium · Numerical value
  30. 30 Jun 2022, Shift 1 · Q30Periodic Root Scaling in Large Intervals · Hard · Numerical value

JEE Main 202136 questions

  1. 3 Aug 2021, Shift 1 · Q79Open the question · Medium · Single correct
  2. 3 Aug 2021, Shift 1 · Q90Graphical Root Counting · Medium · Numerical value
  3. 3 Aug 2021, Shift 2 · Q79Trigonometric Bounds and Inequalities · Hard · Single correct
  4. 3 Aug 2021, Shift 2 · Q89Open the question · Medium · Numerical value
  5. 4 Aug 2021, Shift 1 · Q66Trigonometric Series with Angles in AP · Hard · Single correct
  6. 4 Aug 2021, Shift 1 · Q79Open the question · Hard · Single correct
  7. 4 Aug 2021, Shift 1 · Q90Compound Angle Formulas · Medium · Numerical value
  8. 4 Aug 2021, Shift 2 · Q79Modulus Trigonometric Equations · Medium · Single correct
  9. 26 Aug 2021, Shift 1 · Q71Modulus Trigonometric Equations · Hard · Single correct
  10. 26 Aug 2021, Shift 2 · Q69Perpendicular distance from point · Medium · Single correct · has a figure
  11. 26 Aug 2021, Shift 2 · Q80Product to Sum Formulas · Medium · Single correct
  12. 27 Aug 2021, Shift 1 · Q74Sine Rule Application · Medium · Single correct
  13. 27 Aug 2021, Shift 2 · Q80Open the question · Medium · Single correct
  14. 27 Aug 2021, Shift 2 · Q89Fourth Power Identity Application · Medium · Numerical value
  15. 31 Aug 2021, Shift 1 · Q77Values of Non-Standard Specific Angles · Medium · Single correct
  16. 31 Aug 2021, Shift 1 · Q79Open the question · Medium · Single correct
  17. 31 Aug 2021, Shift 2 · Q78Quadratic Substitution in Trigonometry · Medium · Single correct
  18. 24 Feb 2021, Shift 1 · Q65Infinite GP Sum · Medium · Single correct
  19. 24 Feb 2021, Shift 1 · Q79Open the question · Medium · Single correct
  20. 24 Feb 2021, Shift 1 · Q86Optimization via AM-GM Inequality · Medium · Numerical value
  21. 24 Feb 2021, Shift 2 · Q75Open the question · Easy · Single correct
  22. 25 Feb 2021, Shift 1 · Q77Trigonometric Inequality Intervals · Medium · Single correct
  23. 25 Feb 2021, Shift 1 · Q79Open the question · Medium · Single correct
  24. 25 Feb 2021, Shift 2 · Q77Trigonometric Bounds and Inequalities · Medium · Single correct
  25. 26 Feb 2021, Shift 1 · Q86Parametric Solvability Conditions · Easy · Numerical value
  26. 26 Feb 2021, Shift 1 · Q89Quadratic Substitution in Trigonometry · Easy · Numerical value
  27. 22 Jul 2021, Shift 2 · Q62Boundedness and Range Analysis · Medium · Single correct
  28. 25 Jul 2021, Shift 1 · Q73Open the question · Medium · Single correct
  29. 25 Jul 2021, Shift 1 · Q80Sum-to-Product Factorization · Medium · Single correct
  30. 25 Jul 2021, Shift 2 · Q73Values of Non-Standard Specific Angles · Medium · Single correct
  31. 16 Mar 2021, Shift 2 · Q82Inradius and Circumradius · Medium · Numerical value
  32. 17 Mar 2021, Shift 2 · Q79Graphical Root Counting for Mixed Equations · Medium · Single correct
  33. 17 Mar 2021, Shift 2 · Q82Triple Angle Formulas · Hard · Numerical value
  34. 18 Mar 2021, Shift 1 · Q90Open the question · Medium · Numerical value
  35. 18 Mar 2021, Shift 2 · Q61High Power Reduction Identities · Medium · Single correct
  36. 18 Mar 2021, Shift 2 · Q63Inradius and Circumradius · Medium · Single correct

JEE Main 20206 questions

  1. 8 Jan 2020, Shift 2 · Q75Compound Angle Formulas · Medium · Numerical value
  2. 9 Jan 2020, Shift 1 · Q69Product to Sum Formulas · Medium · Single correct
  3. 9 Jan 2020, Shift 1 · Q72Logarithmic Trigonometric Equations · Medium · Numerical value
  4. 2 Sep 2020, Shift 2 · Q69Fourth Power Identity Application · Medium · Single correct
  5. 4 Sep 2020, Shift 2 · Q69Open the question · Medium · Single correct
  6. 6 Sep 2020, Shift 2 · Q69Open the question · Medium · Single correct

JEE Main 20172 questions

  1. 2 Apr 2017 (offline) · Q88Multiple Angle Formulas · Medium · Single correct
  2. 2 Apr 2017 (offline) · Q89Open the question · Medium · Single correct

Questions from the official JEE Main papers published by NTA. Chapter, topic and idea tags, counts and notes are Lumi’s. Pattern: Asked most years.

More Maths, Class 11

All JEE Main chaptersJEE Main Maths analysisStudy plan