JEE Main Maths · Inverse Trigonometric Functions

Inverse Trig Domains in JEE Main

Name: Inverse Trig Domains: JEE Main previous year questions
Creator: Lumi

Inverse Trig Domains (Maths, Inverse Trigonometric Functions) came 7 times in 7 of the 42 JEE Main shifts Lumi analysed, across 5 distinct ideas. 4 of them came in 2024–26; it was last asked in 2026.

Questions: 7; in 7 shifts
Ideas asked: 5; 2 asked more than once
Numerical answer: 0; 0% of its questions
Pattern: Asked most years; last asked 2026

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 1Medium 6Hard 0

Format

Single correct7 Q

Ideas inside the topic

5 ideas

Domain of Rational Composite Inverse Trig2 Q
Inverse Trig with GIF and Fractional Part2 Q
Domain of Inverse Trig with Log/Exp Arguments1 Q
Domain of Inverse Trig with Modulus Arguments1 Q
Domain of Inverse Trig with Rational Arguments1 Q

Where it sits

Part of Inverse Trigonometric Functions, which had 25 questions in all. Inverse Trig Domains accounts for 28% of them. In Lumi's JEE taxonomy it belongs to Trigonometry.

Some questions sit in other chapters too: Relations and Functions.

Every question

All 7 Inverse Trig Domains questions

Newest first, each with its options and official answer.

4 Apr 2026, Shift 1 · Q1Let $[\cdot]$ denote the greatest integer function. If the domain of the function $f(x)=\cos^{-1}\left(\frac{4x+2[x]}{3}\right)$ is…MediumSingle correct
6 Apr 2026, Shift 1 · Q1Let $[\cdot]$ denote the greatest integer function. If the domain of the function $f(x)=\sin^{-1}\left(\frac{x+[x]}{3}\right)$ is…MediumSingle correct
4 Apr 2025, Shift 2 · Q1Let the domains of the functions $f(x)=\log_4\log_3\log_7(8-\log_2(x^2+4x+5))$ and $g(x)=\sin^{-1}\left(\frac{7x+10}{x-2}\right)$ be…MediumSingle correct
9 Apr 2024, Shift 1 · Q1If the domain of the function $f(x)=\sin^{-1}\left(\frac{x-1}{2x+3}\right)$ is $\mathbf{R}-(\alpha,\beta)$ , then $12\alpha\beta$ is equal…MediumSingle correct
28 Jul 2022, Shift 1 · Q2Considering only the principal values of the inverse trigonometric functions, the domain of the function…EasySingle correct
29 Jun 2022, Shift 1 · Q15The domain of the function $\cos^{-1}\left(\frac{2\sin^{-1}\left(\frac{1}{4x^2 - 1}\right)}{\pi}\right)$ is :MediumSingle correct
2 Sep 2020, Shift 1 · Q69The domain of the function $f(x)=\sin^{-1}\left(\frac{|x|+5}{x^{2}+1}\right)$ is $(-\infty, -a]\cup[a, \infty)$ . Then a is equal to :MediumSingle correct