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Saturday, 31 October

JEE Main · Maths · Inverse Trigonometric Functions

Domain of Rational Composite Inverse Trig

JEE Main asked Domain of Rational Composite Inverse Trig 3 times in 3 of the 108 shifts Lumi analysed, all in 2022. It belongs to Inverse Trig Domains, in Inverse Trigonometric Functions (Maths). In 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
1 of 8
First asked
2022
the only year
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200’210.11’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 3 in 24 shifts · 2023: 0 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
  • 20230 of 12
  • 20223 of 24
  • 20210 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: application.

  • Domain of composite inverse trig function
  • Domain of inverse trig composite

Difficulty

Easy 1Medium 2Hard 0

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. 29 Jun 2022, Shift 1 · Q15The domain of the function cos⁡−1(2sin⁡−1(14x2−1)π)\cos^{-1}\left(\frac{2\sin^{-1}\left(\frac{1}{4x^2 - 1}\right)}{\pi}\right) is :MediumSingle correct
  2. 29 Jul 2022, Shift 2 · Q19The domain of the function f(x)=sin⁡−1(x2−3x+2x2+2x+7)f(x)=\sin^{-1}\left(\frac{x^2-3x+2}{x^2+2x+7}\right) is :MediumSingle correct
  3. 28 Jul 2022, Shift 1 · Q2Considering only the principal values of the inverse trigonometric functions, the domain of the function…EasySingle correct

Shifts: 29 Jun 2022, Shift 1, 28 Jul 2022, Shift 1, 29 Jul 2022, Shift 2.

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