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Saturday, 31 October

JEE Main · Maths · Inverse Trigonometric Functions

Inverse Trig with GIF and Fractional Part

JEE Main asked Inverse Trig with GIF and Fractional Part 3 times in 3 of the 108 shifts Lumi analysed, in 2021 and 2026. It belongs to Inverse Trig Domains, in Inverse Trigonometric Functions (Maths). The longest wait between two years asking it was 5 years. In 2026 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 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.

00.150.30’170’200.03’210’220’230’240’250.22’26

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: 2 in 9 shifts.

Shift by shift

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

  • 20262 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.

  • Domain of inverse trig with greatest integer
  • Count solutions of inverse trig equation

Difficulty

Easy 0Medium 2Hard 1

Every question was multiple choice.

Every question

All 3 questions

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

  1. 6 Apr 2026, Shift 1 · Q1Let [⋅][\cdot] denote the greatest integer function. If the domain of the function f(x)=sin⁡−1(x+[x]3)f(x)=\sin^{-1}\left(\frac{x+[x]}{3}\right) is…MediumSingle correct
  2. 4 Apr 2026, Shift 1 · Q1Let [⋅][\cdot] denote the greatest integer function. If the domain of the function f(x)=cos⁡−1(4x+2[x]3)f(x)=\cos^{-1}\left(\frac{4x+2[x]}{3}\right) is…MediumSingle correct
  3. 17 Mar 2021, Shift 2 · Q61The number of solutions of the equation sin⁡−1[x2+13]+cos⁡−1[x2−23]=x2\sin^{-1}\left[x^2+\frac{1}{3}\right]+\cos^{-1}\left[x^2-\frac{2}{3}\right]=x^2, for…HardSingle correct

Shifts: 17 Mar 2021, Shift 2, 4 Apr 2026, Shift 1, 6 Apr 2026, Shift 1.

Same topic

Other ideas in Inverse Trig Domains

Inverse Trig Domains has 8 ideas JEE Main has asked; 3 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas