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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.
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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 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 |
|
2 | |
|
Simplification with the help of Identities |
2 |
|
1 | |
|
Inverse Trigonometric Identities |
2 |
|
Inequalities |
1 |
|
1 | |
|
Substitution |
1 |
|
Integration |
1 |
|
Functional Equations |
1 |
|
Total |
15 |
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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
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 |
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
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
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 | |
|
2 |
IIT Mathematics by M.L. Khanna |
|
3 | |
|
4 |
Problems Plus in IIT Mathematics by A. Das Gupta |
Frequently Asked Questions (FAQs)
Usually, about one question comes up each year. Sometimes Inverse Trigonometry IIT questions can be mixed together with another chapter.
Yes, Inverse Trigonometry JEE Advanced Questions are high-scoring because the syllabus is smaller than many others.
Topics like principal values, domains, and ranges, plus identities, graphs, and composite functions are most asked.
On Question asked by student community
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