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Saturday, 31 October

JEE Main · Maths · Trigonometric Functions

Compound Angle Formulas

JEE Main asked Compound Angle Formulas 5 times in 5 of the 108 shifts Lumi analysed, in 2020, 2021, 2022, 2024 and 2026. It belongs to Trigonometric Identities, in Trigonometric Functions (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
5
in 5 shifts
Years
5 of 8
First asked
2020
last in 2026
Pattern
Asked most years
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021, 2022, 2024 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.08’200.03’210.04’220’230.05’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 1 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 in 18 shifts · 2025: 0 in 8 shifts · 2026: 1 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20261 of 9
  • 20250 of 8
  • 20241 of 18
  • 20230 of 12
  • 20221 of 24
  • 20211 of 24
  • 20201 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Trigonometric value from roots of quadratic
  • Ratio of tangents from sine condition

Difficulty

Easy 1Medium 4Hard 0

2 of the 5 questions had a numerical answer.

Every question

All 5 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 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
  2. 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
  3. 28 Jun 2022, Shift 2 · Q20If cot⁡α=1\cot\alpha=1 and sec⁡β=−53\sec\beta=-\frac{5}{3}, where π<α<3π2\pi<\alpha<\frac{3\pi}{2} and π2<β<π\frac{\pi}{2}<\beta<\pi, then the value of…EasySingle correct
  4. 4 Aug 2021, Shift 1 · Q90If tan⁡A\tan A is equal to the integral solution of the inequality 4x2−24x+35<04x^2-24x+35<0 and sin⁡B\sin B is equal to the slope of the angle bisector…MediumNumerical value
  5. 8 Jan 2020, Shift 2 · Q75If 2sin⁡α1+cos⁡2α=17\frac{\sqrt{2}\sin\alpha}{\sqrt{1 + \cos 2\alpha}} = \frac{1}{7} and 1−cos⁡2β2=110\sqrt{\frac{1 - \cos 2\beta}{2}} = \frac{1}{\sqrt{10}},…MediumNumerical value

Shifts: 8 Jan 2020, Shift 2, 4 Aug 2021, Shift 1, 28 Jun 2022, Shift 2, 30 Jan 2024, Shift 2, 5 Apr 2026, Shift 1.

Same topic

Other ideas in Trigonometric Identities

Trigonometric Identities has 19 ideas JEE Main has asked; 9 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas