NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

NCERT Solutions For Class 12 Maths Chapter 2 Inverse Trigonometric Functions are available at CoolGyan’S providing the answers for all the questions in the NCERT textbook. These NCERT Solutions will give students the advantage of preparing themselves better before the final CBSE Class 12 exams 2021. CoolGyan’S provides step-by-step solutions for all the questions enlisted under the chapters of the NCERT textbook. These NCERT Solutions for Class 12 Maths are prepared by our subject experts, keeping in mind the students’ requirements of CBSE Board Examination for Class 12.

Chapter 2 of 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 get 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 the examples. Following these NCERT Solutions will help the students understand the methods in which different questions could be solved.

Download 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 Class 12 Maths Chapter 2, 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 of CoolGyan’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 NCERT Solutions For Class 12 of Maths include:

2.1 Introduction

In the earlier classes, students have already learned 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 get knowledge of trigonometric functions such as sine, cosine, tangent, cot, cosec, sec. Also, 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 relationship between the various trigonometric functions in terms of formulae.

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

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

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

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

It is necessary to practice all the NCERT textbook questions of Class 12 Maths Chapter 2 to score full marks for the questions from this chapter. The solutions provided by CoolGyan’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 in boosting the student confidence level.
• 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: