Learn

Saturday, 31 October

JEE Main · Maths · Trigonometric Functions

Trigonometric Bounds and Inequalities

JEE Main asked Trigonometric Bounds and Inequalities 2 times in 2 of the 108 shifts Lumi analysed, all in 2021. It belongs to Trigonometric Identities, in Trigonometric Functions (Maths). In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
1 of 8
First asked
2021
the only year
Pattern
Gone quiet
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200.07’210’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 0 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
  • 20220 of 24
  • 20212 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.

  • Maximum of trigonometric product under constraint
  • Solve trig condition by bounds then evaluate

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. 25 Feb 2021, Shift 2 · Q77If 0<x,y<π0 < x, y < \pi and cos⁡x+cos⁡y−cos⁡(x+y)=32\cos x + \cos y - \cos(x+y) = \frac{3}{2}, then sin⁡x+cos⁡y\sin x + \cos y is equal to :MediumSingle correct
  2. 3 Aug 2021, Shift 2 · Q79The maximum value of (cos⁡θ1)⋅(cos⁡θ2)⋅(cos⁡θ3)⋅…⋅(cos⁡θ10)(\cos\theta_1)\cdot(\cos\theta_2)\cdot(\cos\theta_3)\cdot\ldots\cdot(\cos\theta_{10}) under the restrictions…HardSingle correct

Shifts: 25 Feb 2021, Shift 2, 3 Aug 2021, 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