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Trigonometric Equations JEE Main PYQs, 2020 to 2025

Trigonometric Equations has 33 questions in JEE Main papers from 2020 to 2025, about 5.5 per year across all shifts. The most asked topic is General Solutions (22 questions), followed by Equations Reducible to Quadratic (11).

Updated

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33Total PYQs
6Years covered
2Topics
2025 Apr S2Latest paper

Trigonometric Equations questions per year

YearQuestions
20255
20243
20234
20229
202110
20202

Topic-wise weightage

TopicQuestionsShare of chapterLast asked
General Solutions2267%2025
Equations Reducible to Quadratic1133%2025

Sample questions from recent papers

JEE Main 2025 · 7 Apr · Shift 2 · General Solutions

The number of solutions of the equation

cos⁡2θcos⁡θ2+cos⁡5θ2=2cos⁡35θ2\cos 2\theta \cos \frac{\theta}{2} + \cos \frac{5\theta}{2} = 2\cos^3 \frac{5\theta}{2} in [−π2,π2]\left[ -\frac{\pi}{2}, \frac{\pi}{2} \right] is :

  1. (A)

    5

  2. (B)

    7

  3. (C)

    6

  4. (D)

    9

Answer: (B)

Step-by-step solution

JEE Main 2025 · 3 Apr · Shift 2 · Equations Reducible to Quadratic

The number of solutions of the equation

(4−3)sin⁡x−23cos⁡2x=−41+3,x∈[−2π,5π2](4-\sqrt{3}) \sin x-2 \sqrt{3} \cos ^2 x=-\frac{4}{1+\sqrt{3}}, x \in\left[-2 \pi, \frac{5 \pi}{2}\right] is

  1. (A)4
  2. (B)3
  3. (C)6
  4. (D)5

Answer: (D)

Step-by-step solution

All 33 questions are in the free PDF above, grouped by topic.

Frequently asked

How many questions come from Trigonometric Equations in JEE Main?

33 questions from 2020 to 2025, about 5.5 per year. In 2025 it had 5.

Which Trigonometric Equations topics are most important for JEE Main?

By past papers: General Solutions (67%) and Equations Reducible to Quadratic (33%) of all Trigonometric Equations questions.

Is the Trigonometric Equations PYQ PDF free?

Yes. The PDF, the answer key and every step-by-step solution on PrepWiser are free, with no login needed to practise.

More Mathematics chapters

JEE Main PYQs by year: 2025 · 2024 · 2023 · 2022 · 2021 · 2020

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