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Saturday, 31 October

JEE Main · Maths · Trigonometric Functions

Products of Tangents of Complementary Angles

JEE Main asked Products of Tangents of Complementary Angles once in the 108 shifts Lumi analysed, on 6 Apr 2023, Shift 2. It belongs to Trigonometric Identities, in Trigonometric Functions (Maths).

Updated 2026-10-24

Times asked
1
in 1 shift
Years
1 of 8
First asked
2023
the only year
Pattern
Occasional
asked once so far

Questions on this idea a shift, by year

2017–2026. Asked in 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200’210’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 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
  • 20210 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: calculation.

  • Evaluate sum of tangents of special angles

Difficulty

Easy 0Medium 0Hard 1

1 of the 1 question had a numerical answer.

Every question

The question

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 6 Apr 2023, Shift 2 · Q30The value of tan⁡9∘−tan⁡27∘−tan⁡63∘+tan⁡81∘\tan 9^\circ-\tan 27^\circ-\tan 63^\circ+\tan 81^\circ is ___________.HardNumerical value

Shift: 6 Apr 2023, 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