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Saturday, 31 October

JEE Main · Maths · Integrals

Trigonometric Reduction Formulas

JEE Main asked Trigonometric Reduction Formulas 2 times in 2 of the 108 shifts Lumi analysed, in 2017 and 2024. It belongs to Integration by Parts, in Integrals (Maths). The longest wait between two years asking it was 7 years, across 2018 and 2019, which Lumi has no shifts for.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2017
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.510.86’170’200’210’220’230.05’240’250’26

Raw count: 2017: 1 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 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
  • 20241 of 18
  • 20230 of 12
  • 20220 of 24
  • 20210 of 24
  • 20200 of 12
  • 20171 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

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

  • Reduction formula for powers of tan
  • Reduction formula for integral of power of cosecant

Difficulty

Easy 0Medium 1Hard 1

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. 4 Apr 2024, Shift 2 · Q26If…HardNumerical value
  2. 2 Apr 2017 (offline) · Q74Let In=∫tan⁡nx dx, (n>1)I_n=\int\tan^n x\,dx,\ (n>1). If I4+I6=atan⁡5x+bx5+CI_4+I_6=a\tan^5x+bx^5+C, where C is a constant of integration, then the ordered pair (a, b) is…MediumSingle correct

Shifts: 2 Apr 2017 (offline), 4 Apr 2024, Shift 2.

Same topic

Other ideas in Integration by Parts

Integration by Parts has 9 ideas JEE Main has asked; 4 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas