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Saturday, 31 October

JEE Main · Maths · Trigonometric Functions

High Power Reduction Identities

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

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2021
last in 2026
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200.03’210’220’230’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 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
  • 20240 of 18
  • 20230 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

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

  • Simplify trigonometric expression to constant
  • Value of trig expression from fourth-power equation

Difficulty

Easy 0Medium 2Hard 0

Every question was multiple choice.

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. 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
  2. 18 Mar 2021, Shift 2 · Q61If 15sin⁡4α+10cos⁡4α=615\sin^4\alpha + 10\cos^4\alpha = 6, for some α∈R\alpha\in\mathbb{R}, then the value of 27sec⁡6α+8cosec6α27\sec^6\alpha + 8\mathrm{cosec}^6\alpha is…MediumSingle correct

Shifts: 18 Mar 2021, Shift 2, 2 Apr 2026, 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