# NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

## NCERT Solutions for Class 12 Maths Chapter 2 – Free PDF Download

NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions are available at BYJUâ€™S, providing the answers for all the questions in the NCERT textbook. These NCERT Solutions will give students the advantage of preparing themselves better for the Class 12 CBSE Board exams. BYJUâ€™S provides step-by-step solutions for all the questions listed under the chapters of the NCERT textbook. These NCERT Solutions for Class 12 Maths are prepared by our subject experts according to the latest CBSE syllabus 2023-24, keeping in mind the students’ requirements of the CBSE Board examination for Class 12 Maths.

Chapter 2 of NCERT Solutions for Class 12 Maths Inverse Trigonometric Functions plays an important role in calculus to find the various integrals. Inverse trigonometric functions are also used in other areas, such as science and engineering. In this chapter, students will gain knowledge of the restrictions on domains and ranges of trigonometric functions, which ensure the existence of their inverses and observe their behaviour through graphical representations, along with examples. Besides these, some elementary properties will also be discussed, along with examples. Following these NCERT Solutions will help the students understand the methods by which different questions could be solved.

## Download the PDF of NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

### NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions – Exercises

In Chapter 2 of NCERT Solutions for Class 12 Maths, students will deal with inverse trigonometric functions and their properties. Get handy with the domains and ranges (principal value branches) of inverse trigonometric functions by the solutions provided by BYJUâ€™S. While solving problems on this topic, students should keep in mind that the value of an inverse trigonometric function, which lies in its principal value branch, is called the principal value of the given inverse trigonometric function. The topics explained in Chapter 2 of NCERT Solutions for Class 12Â of Maths include:

2.1 Introduction

In the earlier classes, students have already learnt about functions and necessary conditions for the existence of the inverse function. Here, you will learn about the possibilities of defining an inverse trigonometric function.

2.2 Basic Concepts

In this exercise, students can gain knowledge of trigonometric functions such as sine, cosine, tangent, cot, cosec, and sec. Also, they can gain in-depth knowledge of the concept of an inverse trigonometric function, finding the principal value of the inverse trigonometric function, domain, and range of the inverse trigonometric function. Besides, graphs of inverse trigonometric functions are also discussed.

2.3 Properties of Inverse Trigonometric Functions

In this section, students will understand the properties and relationships between the various trigonometric functions in terms of formulae.

Exercise 2.1 Solutions: 14 Questions (12 Short Answers, 2 MCQs)

Exercise 2.2 Solutions: 21 Questions (18 Short Answers, 3 MCQs)

Miscellaneous Exercise Solutions: 17 Questions (14 Short Answers, 3 MCQs)

### Key Features of NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

It is necessary to practise all the NCERT textbook questions of Class 12 Maths Chapter 2 to score full marks for the questions from this chapter. The NCERT SolutionsÂ provided by BYJUâ€™S for all NCERT questions have the following characteristics.

• NCERT Solutions of Maths will help the students to strengthen their foundation on Maths topics.
• All exercises are meticulously solved by subject experts.
• The students will be able to focus more and get a good score after revising them.
• These solutions will help students in boosting confidence levels.
• It gives them time and efficiency to work hard and score more since the solutions are provided in such a manner that students can cover them in less time.

The main topics covered in this chapter include:

 Exercise Topic 2.1 Introduction 2.2 Basic Concepts 2.3 Properties of Inverse Trigonometric Functions Others Miscellaneous Q&A

Disclaimer –Â

Dropped Topics –Â 2.3 Properties of Inverse Trigonometric Functions (Except sin (sin-1 x) = x, x âˆˆ [-1, 1] sin-1 (sin x) = x, x âˆˆ [-Ï€/2, Ï€/2], Page 45 – 47 Examples 4, 7 and 8; Alternative Solution of Example 5, Page 47-48 Ques. 3, 4, 6, 12, 14, 15, Page 49-51 Examples 10, 11, 12, 13, Page 51-52 Ques. 8, 12, 17 (Miscellaneous Exercise), Page 53 Summary Points 8â€“13

## Frequently Asked Questions on NCERT Solutions for Class 12 Maths Chapter 2

Q1

### How many questions are present in NCERT Solutions for Class 12 Maths Chapter 2?

Chapter 2 of NCERT Solutions for Class 12 has three exercises. The first exercise has 12 short answers and 2 MCQs. There are 18 short answers and 3 MCQs in the second exercise. Following this is a miscellaneous exercise having 14 short answers and 3 MCQs. The last exercise covers all the concepts which are discussed in this chapter.
Q2

### Where can I find NCERT Solutions for Class 12 Maths Chapter 2 online?

Students can find the NCERT Solutions for Class 12 Maths Chapter 2 on BYJUâ€™S. These NCERT Solutions are the top-rated study resources which students can rely upon without any hesitation. The PDF of solutions is also available for free download, which can be used by the students without any time constraints. The solutions are curated by the subject experts at BYJUâ€™S strictly based on the latest 2023-24 CBSE Board syllabus. Students can speed up their first exam preparation using the solutions module, which is available chapter-wise.
Q3

### Are NCERT Solutions for Class 12 Maths Chapter 2 helpful in the board exam preparation?

Yes, NCERT Solutions help students to strengthen their foundation on basic topics in Maths. The exercise-wise solutions are created by highly knowledgeable professors having vast experience in the respective subject at BYJUâ€™S. It will help students to focus more and score well in the board exams. The main aim is to boost the confidence level of students and efficiency in solving complex problems within a shorter duration.