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NCERT Solutions for Class 12 Maths Chapter 2 Exercise 2.1 Inverse Trigonometric Functions - PDF Download

NCERT solutions for class 12 maths chapter 2 exercise 2.1 Inverse trigonometric functions provides an in-depth understanding of inverse notation and their meanings. Further, the ex 2.1 explains about the domain and range of inverse trigonometric functions. You will also learn in this exercise how to draw graphs of functions. Students are shown how to effectively comprehend such concepts in class 12 maths chapter 2 exercise 2.1 NCERT solutions by the expert teachers of mathematics at eSaral.

Ex 2.1 class 12 maths chapter 2 has a total of 14 questions from which first 12 questions are comparatively easy to solve as it requires you to find the principal value of inverse trigonometric functions and the remaining questions are slightly difficult as they requires to find the value of given mathematical expression by using the concepts.

Ex 2.1 class 12 maths solutions have been solved by the subject experts of eSaral which provides clear and stepwise solutions to all the questions of ex 2.1 and concepts mentioned in it. These solutions will help you to prepare well for the board exams. Class 12 maths chapter 2 exercise 2.1 NCERT solutions can be downloaded in PDF format. You can download the PDF from the link given below.

Topics Covered in Exercise 2.1 Class 12 Mathematics Questions

Ex 2.1 class 12 maths ch 2 talks about the basic concepts of inverse trigonometric functions. You can find the detailed explanation of the topic mentioned below.

 1 Basic Concepts of inverse trigonometric functions Domain Range 2 Graphic Representation of Inverse Trigonometric Functions

The following table lists the domains and ranges (principal value branches) of inverse trigonometric functions:

 Functions Domain Range (Principal Value Branches) y = sin–1 x [–1, 1] $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$ y = cos–1 x [–1, 1] [0, π] y = cosec–1 x R – (–1,1) $\left\lfloor\frac{-\pi}{2}, \frac{\pi}{2}\right\rfloor-\{0\}$ y = sec–1 x R – (–1, 1) $[0, \pi]-\left\{\frac{\pi}{2}\right\}$ y = tan–1 x R $\left(\frac{-\pi}{2}, \frac{\pi}{2}\right)$ y = cot–1 x R (0, π)
• sin–1x should not be confused with (sin x) –1. In fact (sin x) –1 = $\frac{1}{\sin x}$ and similarly for other trigonometric functions.
• The value of an inverse trigonometric function which lies in its principal value branch is called the principal value of that inverse trigonometric function.

2. Graphic Representation of Inverse Trigonometric Functions

The functions that are also referred to as arc functions are inverse trigonometric functions.  They can be defined as arcsine, arccosine, arctangent, arc-secant, arc-cotangent, and arc-cosecant. Graphs of inverse trigonometric functions can be represented in the same way as trigonometric functions.

You will learn the detailed solutions of graphic representation of inverse trigonometric functions in NCERT textbook class 12 maths chapter 2.

Tips for Solving Exercise 2.1 Class 12 Chapter 2 Inverse Trigonometric Functions

Students can solve exercise 2.1 questions quickly and easily by following the tips provided by eSaral’s experts of maths.

1. Students must read the theory and comprehend the concepts of graphical representation of inverse trigonometric functions before solving questions.

2. Making the table of domain and range of inverse trigonometric functions and learning how to draw a graph will help you to solve questions confidently in board exams.

3. You must solve questions provided in NCERT solutions class 12 maths chapter 2 ex 2.1 before solving exercise questions.

Importance of Solving Ex 2.1 Class 12 Maths Chapter 2 Inverse Trigonometric Functions

There are a lot of benefits of solving questions of ex 2.1 class 12 maths chapter 2 Inverse Trigonometric Functions. Our subject experts have combined some important benefits of solving ex 2.1.

1. NCERT solutions class 12 maths chapter 2 ex 2.1 have explained the concepts of inverse trigonometric functions, domain and range of these functions by experience faculties of eSaral that will be beneficial for you to prepare for exam.

2. These solutions have included examples and important questions related to the principal value of functions that will help you to gain a better understanding of topic and concepts.

3. Practicing questions and revising concepts from NCERT solutions class 12 maths chapter 2 ex 2.1 will improve your problem solving and time management skills.

4. The PDF of these solutions have provided answers to all the questions, you will not only solve the questions but also can cross-check your answers.