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Saturday, 31 October

JEE Main · Maths · Inverse Trigonometric Functions

Domain of Inverse Secant and Cosecant

JEE Main asked Domain of Inverse Secant and Cosecant 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2023. It belongs to Functions and Domain, in Inverse 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.

  • Domain of function with inverse trig and gif
  • Domain of inverse secant composite

Difficulty

Easy 0Medium 2Hard 0

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. 10 Apr 2023, Shift 2 · Q21If the domain of the function f(x)=sec⁡−1(2x5x+3)f(x) = \sec^{-1}\left(\frac{2x}{5x+3}\right) is [α,β)∪(γ,δ][\alpha, \beta) \cup (\gamma, \delta], then…MediumNumerical value
  2. 18 Mar 2021, Shift 1 · Q71The real valued function f(x)=cosec−1xx−[x]f(x)=\dfrac{\mathrm{cosec}^{-1}x}{\sqrt{x-[x]}}, where [x][x] denotes the greatest integer less than or equal to…MediumSingle correct

Shifts: 18 Mar 2021, Shift 1, 10 Apr 2023, Shift 2.

Same topic

Other ideas in Functions and Domain

Functions and Domain has 20 ideas JEE Main has asked; 8 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas