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Saturday, 31 October

JEE Main · Maths · Trigonometric Functions

Triple Angle Formulas

JEE Main asked Triple Angle Formulas 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2023. 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
2
in 2 shifts
Years
2 of 8
First asked
2021
last in 2023
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.03’210’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 0 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
  • 20240 of 18
  • 20231 of 12
  • 20220 of 24
  • 20211 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: application.

  • Simplify trigonometric product to constant
  • Trig expression from circumcentre and orthocentre conditions

Difficulty

Easy 0Medium 0Hard 2

1 of the 2 questions had a numerical answer.

Every question

All 2 questions

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

  1. 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
  2. 17 Mar 2021, Shift 2 · Q82Let tan⁡α\tan\alpha, tan⁡β\tan\beta and tan⁡γ\tan\gamma ; α,β,γ≠(2n−1)π2\alpha, \beta, \gamma\neq\frac{(2n-1)\pi}{2}, n∈Nn\in\mathbf{N} be the slopes of three…HardNumerical value

Shifts: 17 Mar 2021, Shift 2, 8 Apr 2023, 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