Learn

Saturday, 31 October

JEE Main · Maths · Sequences and Series

Extrema of Linear Trigonometric Forms

JEE Main asked Extrema of Linear Trigonometric Forms 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2024. It belongs to Trigonometric Identities, in Sequences and Series (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
2021
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.03’210’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 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
  • 20241 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.

  • Range of reciprocal trigonometric function
  • Maximum value of trigonometric determinant

Difficulty

Easy 0Medium 2Hard 0

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. 9 Apr 2024, Shift 2 · Q1Let the range of the function f(x)=12+sin⁡3x+cos⁡3x, x∈Rf(x)=\frac{1}{2+\sin 3x+\cos 3x},\ x\in\mathbb{R} be [a,b][a, b]. If α\alpha and β\beta are respectively…MediumSingle correct
  2. 16 Mar 2021, Shift 2 · Q77The maximum value of…MediumSingle correct

Shifts: 16 Mar 2021, Shift 2, 9 Apr 2024, Shift 2.

Same topic

Other ideas in Trigonometric Identities

Trigonometric Identities has 19 ideas JEE Main has asked; 9 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas