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Saturday, 31 October

JEE Main · Maths · Inverse Trigonometric Functions

Inverse Trig Simplification via tan(θ)

JEE Main asked Inverse Trig Simplification via tan(θ) 2 times in 2 of the 108 shifts Lumi analysed, in 2022 and 2025. It belongs to Inverse Trig Identities, in Inverse Trigonometric Functions (Maths). The longest wait between two years asking it was 3 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2022
last in 2025
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2022 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200’210.04’220’230’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 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
  • 20251 of 8
  • 20240 of 18
  • 20230 of 12
  • 20221 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: multi-step.

  • Evaluate inverse trig expression with branch trap
  • Evaluate inverse trig after solving condition

Difficulty

Easy 0Medium 1Hard 1

Every question was multiple choice.

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. 8 Apr 2025, Shift 2 · Q13The value of…HardSingle correct
  2. 24 Jun 2022, Shift 2 · Q1Let x∗y=x2+y3x*y = x^2 + y^3 and (x∗1)∗1=x∗(1∗1)(x*1)*1 = x*(1*1). Then a value of 2sin⁡−1(x4+x2−2x4+x2+2)2\sin^{-1}\left(\frac{x^4+x^2-2}{x^4+x^2+2}\right) isMediumSingle correct

Shifts: 24 Jun 2022, Shift 2, 8 Apr 2025, Shift 2.

Same topic

Other ideas in Inverse Trig Identities

Inverse Trig Identities has 25 ideas JEE Main has asked; 12 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas