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Saturday, 31 October

JEE Main · Maths · Trigonometric Functions

Values of Non-Standard Specific Angles

JEE Main asked Values of Non-Standard Specific Angles 6 times in 6 of the 108 shifts Lumi analysed, in 2021, 2022 and 2024. It belongs to Trigonometric Identities, in Trigonometric Functions (Maths). The longest wait between two years asking it was 2 years. In 2021, 2022 and 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
6
in 6 shifts
Years
3 of 8
First asked
2021
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200.07’210.07’220’230.09’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 2 in 24 shifts · 2023: 0 in 12 shifts · 2024: 2 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

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

  • 20260 of 9
  • 20250 of 8
  • 20242 of 18
  • 20230 of 12
  • 20222 of 24
  • 20212 of 24
  • 20200 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: calculation.

  • Product of parameter range and trig value
  • Value of ratio of non-standard angle expressions

Difficulty

Easy 0Medium 4Hard 2

1 of the 6 questions had a numerical answer.

Every question

All 6 questions

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

  1. 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
  2. 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
  3. 27 Jun 2022, Shift 2 · Q19α=sin⁡36∘\alpha=\sin 36^\circ is a root of which of the following equation?HardSingle correct
  4. 25 Jun 2022, Shift 2 · Q15The value of 2sin⁡(12∘)−sin⁡(72∘)2\sin(12^\circ) - \sin(72^\circ) is :MediumSingle correct
  5. 25 Jul 2021, Shift 2 · Q73The value of cot⁡π24\cot\frac{\pi}{24} is :MediumSingle correct
  6. 31 Aug 2021, Shift 1 · Q77cosec18∘\mathrm{cosec}18^\circ is a root of the equation :MediumSingle correct

Shifts: 25 Jul 2021, Shift 2, 31 Aug 2021, Shift 1, 25 Jun 2022, Shift 2, 27 Jun 2022, Shift 2, 27 Jan 2024, Shift 1, 8 Apr 2024, Shift 2.

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