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    Inverse Trigonometry JEE Advanced Questions: Weightage, PYQs, and Preparation Tips

    Inverse Trigonometry JEE Advanced Questions: Weightage, PYQs, and Preparation Tips

    Shivani PooniaUpdated on 10 Aug 2026, 05:41 PM IST

    Inverse Trigonometry is a scoring topic for JEE Advanced Mathematics and needs a strong understanding of inverse trigonometric functions, their properties, identities and principal values. JEE Advanced Inverse Trigonometry questions test the concept and tendency to solve problem. Every year, around 1 to 2 questions are asked from this unit. Practising Inverse Trigonometry JEE Advanced Questions helps students understand the exam pattern, the types of questions asked, and the difficulty level of these questions.

    This Story also Contains

    1. Inverse Trigonometry JEE Advanced Last 10 Years Most Asked Topics
    2. Inverse Trigonometry JEE Advanced Previous Year Questions
    3. JEE Main and JEE Advanced Inverse Trigonometric Functions Weightage
    4. Important Inverse Trigonometry Formulas and Identities
    5. Important Topics from Inverse Trigonometry
    6. Best Books for Inverse Trigonometric JEE Main Questions
    Inverse Trigonometry JEE Advanced Questions: Weightage, PYQs, and Preparation Tips
    Inverse Trigonometry JEE Advanced Questions & PYQs

    In this article, we have provided topic -wise weightage, important formulas, JEE Advanced and JEE Main inverse trigonometry questions, JEE 2027 preparation tips, and Inverse Trigonometry IIT questions PDF.
    Download: JEE Main & Advanced Trigonometry Previous Year Questions -Free PDF

    Inverse Trigonometry JEE Advanced Last 10 Years Most Asked Topics

    Inverse Trigonometry JEE Advanced Questions asked in the last 10 years include different topics. The table below is prepared based on JEE Main 2026 exam analysis, which shows the most asked JEE Advanced inverse trigonometry question topics.

    Topic

    No. of Questions Asked

    Principal and Standard Values

    2

    Properties of Inverse Trigonometric Functions

    1

    Domain and Range

    2

    Simplification with the help of Identities

    2

    Sum and Difference of Inverse Trigonometric Functions

    1

    Inverse Trigonometric Identities

    2

    Inequalities

    1

    Graphs of Inverse Trigonometric Functions

    1

    Substitution

    1

    Integration

    1

    Functional Equations

    1

    Total

    15

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    Inverse Trigonometry JEE Advanced Previous Year Questions

    JEE Advanced inverse trigonometry questions are the best way to prepare for JEE Advanced 2027. The questions below will help you understand the exam pattern, the key topics, and also the general level of difficulty.

    Also check: JEE Mains 2027: Maths Set of 5 Sample Paper with Solution

    JEE Main and JEE Advanced Inverse Trigonometric Functions Weightage

    The JEE Main previous year trends and analysis show that the number of questions asked from Inverse trigonometry varies year to year. The table given below is prepared based on JEE Main 2026 exam analysis.

    Exam

    Difficulty Level

    No. of Questions Asked

    JEE Main

    Moderate

    6-8

    JEE Advanced

    Moderate to Difficult

    1-2

    Important Inverse Trigonometry Formulas and Identities

    To score good marks in JEE Advanced Maths, it is really important to revise formulas regularly. Below are some of the most important inverse-trigonometric formulas, which usually come up:

    1. Range of Inverse Trigonometric functions

    • $\sin ^{-1} x \in[-\pi / 2, \pi / 2]$

    • $\cos ^{-1} \mathrm{x} \in[0, \pi]$

    • $\tan ^{-1} \mathrm{x} \in(-\pi / 2, \pi / 2)$

    2. Basic inverse trigonometric function identities

    • $\sin ^{-1} x+\cos ^{-1} x=\pi / 2$

    • $\tan ^{-1} x+\tan ^{-1}(1 / x)=\pi / 2(x>0)$

    • $\tan ^{-1} x+\tan ^{-1}(1 / x)=-\pi / 2(x<0)$

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    3. $\tan ^{-1} \mathrm{a}+\tan ^{-1} \mathrm{~b}=\tan ^{-1}[(\mathrm{a}+\mathrm{b}) /(1-\mathrm{ab})]$

    4. Values of inverse Trigonometric functions

    Inverse Function

    Value

    $\sin ^{-1}(0)$

    0

    $\sin ^{-1}(1 / 2)$

    $\pi / 6$

    $\sin ^{-1}(1)$

    $\pi / 2$

    $\cos ^{-1}(1)$

    0

    $\cos ^{-1}(0)$

    $\pi / 2$

    $\cos ^{-1}(-1)$

    $\Pi$

    $\tan ^{-1}(1)$

    $\pi / 4$

    $\tan ^{-1}(\sqrt{ } 3)$

    $\pi / 3$

    $\tan ^{-1}(0)$

    0

    Also Check: JEE 2027 Important Formulas

    JEE Advanced Syllabus: Subjects & Chapters
    Select your preferred subject to view the chapters

    Important Topics from Inverse Trigonometry

    Inverse Trigonometric function is the most asked chapter in JEE Advanced. Most questions from this chapter are asked from the topics given below:

    1. Domain and Range

    2. Principal Value

    3. Inverse trigonometry functions graphs

    4. Inverse trigonometric functions identities

    5. Identities, their sum and differences

    6. Applications of inverse trigonometric functions

    7. Logarithmic transformations

    Also Check: JEE Main 2027 Study Guide Complete Notes, Important Concepts, Formulae and Practice Questions

    Best Books for Inverse Trigonometric JEE Main Questions

    Refer to the books given below for solving JEE Advanced inverse trigonometry questions. While preparing for IIT JEE, it is very important to follow the Best Books for JEE Main 2027 because they help properly cover all the concepts.

    Sr. No

    Book Names

    1

    Class 11 NCERT and Class 12 NCERT

    2

    IIT Mathematics by M.L. Khanna

    3

    RD Sharma

    4

    Problems Plus in IIT Mathematics by A. Das Gupta

    Frequently Asked Questions (FAQs)

    Q: How many questions are asked from Inverse Trigonometry in JEE Advanced?
    A:

    Usually, about one question comes up each year. Sometimes Inverse Trigonometry IIT questions can be mixed together with another chapter. 

    Q: Is inverse trigonometry important for JEE Advanced 2027?
    A:

    Yes, Inverse Trigonometry JEE Advanced Questions are high-scoring because the syllabus is smaller than many others. 

    Q: Which are the most important inverse trigonometry.
    A:

    Topics like principal values, domains, and ranges, plus identities, graphs, and composite functions are most asked. 

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    Questions related to JEE Advanced

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    JEE Main and JEE Advanced are both national-level engineering entrance examinations, but they serve different purposes.

    JEE Main is conducted for admission to NITs, IIITs and other participating engineering institutes. It is also the qualifying examination for appearing in JEE Advanced.

    JEE Advanced is conducted for admission to the IITs

    Start your JEE preparation from Class 11 itself by building strong concepts in Physics, Chemistry and Mathematics. Follow your Class 11 syllabus systematically and avoid studying only for board examinations.

    A good approach is:

    Complete each chapter conceptually and solve basic questions first.

    Gradually move to JEE-level problems.

    Practise previous-year

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    CSE/AI/Data Science – good for software, AI, data and technology careers.

    Electrical Engineering – useful for

    Hello Student, For JEE Main and JEE Advanced preparation, a good test series should include full-length mock tests, chapter-wise tests, previous-year questions, detailed solutions, and performance analysis. It is useful to take regular timed tests and analyse mistakes after every test rather than only checking the score. If you tell