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Inverse Trigonometric Functions JEE Main PYQs, 2020 to 2025

Inverse Trigonometric Functions has 75 questions in JEE Main papers from 2020 to 2025, about 13 per year across all shifts. The most asked topic is Properties and Identities (42 questions), followed by Inverse Trigonometric Equations (18) and Domain and Range (15).

Updated

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75Total PYQs
6Years covered
3Topics
2025 Apr S2Latest paper

Inverse Trigonometric Functions questions per year

YearQuestions
202511
20249
202313
202220
202117
20205

Topic-wise weightage

TopicQuestionsShare of chapterLast asked
Properties and Identities4256%2025
Inverse Trigonometric Equations1824%2025
Domain and Range1520%2025

Sample questions from recent papers

JEE Main 2025 · 8 Apr · Shift 2 · Properties and Identities

The value of cot⁡−1(1+tan⁡2(2)−1tan⁡(2))−cot⁡−1(1+tan⁡2(12)+1tan⁡(12))\cot^{-1} \left( \frac{\sqrt{1 + \tan^2(2)} - 1}{\tan(2)} \right) - \cot^{-1} \left( \frac{\sqrt{1 + \tan^2\left(\frac{1}{2}\right)} + 1}{\tan\left(\frac{1}{2}\right)} \right) is equal to

  1. (A)

    π−32\pi - \frac{3}{2}

  2. (B)

    π+52\pi + \frac{5}{2}

  3. (C)

    π−54\pi - \frac{5}{4}

  4. (D)

    π+32\pi + \frac{3}{2}

Answer: (C)

Step-by-step solution

JEE Main 2025 · 29 Jan · Shift 1 · Inverse Trigonometric Equations

Let S = {x:cos⁡−1x=π+sin⁡−1x+sin⁡−1[2x+1]}\left\{ x : \cos^{-1} x = \pi + \sin^{-1} x + \sin^{-1} [2x + 1] \right\}. Then ∑x∈S(2x−1)2\sum\limits_{x \in S} (2x - 1)^2 is equal to _______.

Answer: 5

Step-by-step solution

JEE Main 2025 · 28 Jan · Shift 2 · Domain and Range

Let [x] denote the greatest integer less than or equal to x. Then the domain of f(x)=sec⁡−1(2[x]+1)f(x) = \sec^{-1}(2[x] + 1) is:

  1. (A)

    (−∞,∞)(-\infty, \infty)

  2. (B)

    (−∞,∞)−{0}(-\infty, \infty)- \{0\}

  3. (C)

    (−∞,−1]∪[0,∞)(-\infty, -1] \cup [0, \infty)

  4. (D)

    (−∞,−1]∪[1,∞)(-\infty, -1] \cup [1, \infty)

Answer: (A)

Step-by-step solution

All 75 questions are in the free PDF above, grouped by topic.

Frequently asked

How many questions come from Inverse Trigonometric Functions in JEE Main?

75 questions from 2020 to 2025, about 13 per year. In 2025 it had 11.

Which Inverse Trigonometric Functions topics are most important for JEE Main?

By past papers: Properties and Identities (56%), Inverse Trigonometric Equations (24%) and Domain and Range (20%) of all Inverse Trigonometric Functions questions.

Is the Inverse Trigonometric Functions 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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