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Edited By Kuldeep Maurya | Updated on Jan 21, 2022 11:52 AM IST

Students preparing for their class 12th board exams have already heard a lot about RD Sharma Solutions. The RD Sharma class 12th exercise 3.2 is one of their unique solutions books with all the information you need to prepare for your board exams. This particular book is based on the third chapter of the class 12 mathematics book, which is Inverse Trigonometric Functions.

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The RD Sharma class 12 chapter 3 exercise 3.2 has 11 questions, including subparts in level 1, which will cover the concept of Domain of functions and Principal values. R D Sharma Solutions Students will get a clear idea of trigonometric functions and concepts when practicing the RD Sharma class 12 solutions Inverse Trigonometric Functions exercise 3

- Chapter 3 - Inverse Trigonometric Functions Ex 3.1
- Chapter 3 - Inverse Trigonometric Functions Ex 3.3
- Chapter 3 - Inverse Trigonometric Functions Ex 3.4
- Chapter 3 - Inverse Trigonometric Functions Ex 3.5
- Chapter 3 - Inverse Trigonometric Functions Ex 3.6
- Chapter 3 - Inverse Trigonometric Functions Ex 3.7
- Chapter 3 - Inverse Trigonometric Functions Ex 3.8
- Chapter 3 - Inverse Trigonometric Functions Ex 3.9
- Chapter 3 - Inverse Trigonometric Functions Ex 3.10
- Chapter 3 - Inverse Trigonometric Functions Ex 3.11
- Chapter 3 - Inverse Trigonometric Functions Ex 3.12
- Chapter 3 - Inverse Trigonometric Ex 3.13
- Chapter 3 - Inverse Trigonometric Functions Ex 3.14
- Chapter 3 - Inverse Trigonometric Ex VSA

**Answer: **Domain of f(x) is **Hint:** Domain of lies in the interval [-1, 1].**Given: **

The domain of is [-1, 1]

Hence, the domain of f(x) is

The domain of lies in the interval [-1, 1].

Domain of is

Domain of is (-1,1)

Hence, domain of lies in the interval

Inverse trigonometric functions exercise 3.2 question 3

**Answer:** [-1, 1]**Hint**: Domain of lies in the interval [-1, 1]**Given**:**Solution:**

Domain of (x) lies in the interval [-1, 1].

Domain of is R as is defined for all real values.

Hence,N

Domain of will be the intersection of both the functions,R ∩ [-1, 1]=[-1,1]

Inverse trigonometric functions exercise 3.2 question 4 (i)

**Answer:**

is an angle in whose cosine is

Inverse trigonometric functions exercise 3.2 question 4 (ii)

**Answer:**

**Hint**: The range of the principal value branch of is **Given**: **Solution:**

Let

Therefore, the principal value of is .

Let

....(1)

Let

.....(2)

From (1) and (2),

Principal value of

**Answer:****Hint**: The range of the principal value branch of is **Given**: **Solution:**

Let

....(1)

Let

.....(2)

From (1) and (2),

Principal value of

Let

Let

Hence,

Principal Value of is

Since is an angle in is an angle in

Hence,

Inverse trigonometric functions exercise 3.2 question 4 (iii)

For any represents an angle in

Therefore, the principal value of is .

The solutions provided in the RD Sharma class 12 solutions Inverse Trigonometry ex 3.2 have been created by experts who know their fair share of various tips and tricks that even school teachers may not know. You will find many problem-solving techniques that these experts use to solve complex mathematical problems pretty quickly. You will be able to use RD Sharma class 12th exercise 3.2 solutions to improve your knowledge of Inverse Trigonometry and test yourself at home. Self-practice can go a long way in enhancing students' performance and help them score well in board exams

A thorough study of the RD Sharma class 12 chapter 3 exercise 3.2 will be beneficial for the students in their exam preparations. These questions and solutions are extremely important as they often appear in board exams every year. That is why thousands of students and teachers often recommend using the RD Sharma solutions. RD Sharma class 12 solutions chapter 3 ex 3.2 is also pretty popular among students, especially because RD Sharma has become a highly trusted source for NCERT solutions. They won't require any expensive tuition or extra material to help them practice these questions after regular school hours

The best thing about using the RD Sharma class 12th exercise 3.2 is that the book doesn't need to be purchased from stores. You will no longer have to make any financial investment on extra material and solutions because the pdf of class 12 RD Sharma chapter 3 exercise 3.2 solution is readily available online. You will find them on Career360, which provides these solutions to all students completely free of cost. It is easily the one-stop solution to all your Inverse Trigonometry doubts and questions.

**Chapter-wise RD Sharma Class 12 Solutions**

- Chapter 1 - Relations
- Chapter 2 - Functions
- Chapter 3 - Inverse Trigonometric Functions
- Chapter 4 - Algebra of Matrices
- Chapter 5 - Determinants
- Chapter 6 - Adjoint and Inverse of a Matrix
- Chapter 7 - Solution of Simultaneous Linear Equations
- Chapter 8 - Continuity
- Chapter 9 - Differentiability
- Chapter 10 - Differentiation
- Chapter 11 - Higher Order Derivatives
- Chapter 12 - Derivative as a Rate Measurer
- Chapter 13 - Differentials, Errors and Approximations
- Chapter 14 - Mean Value Theorems
- Chapter 15 - Tangents and Normals
- Chapter 16 - Increasing and Decreasing Functions
- Chapter 17 - Maxima and Minima
- Chapter 18 - Indefinite Integrals
- Chapter 19 - Definite Integrals
- Chapter 20 - Areas of Bounded Regions
- Chapter 21 - Differential Equations
- Chapter 22 - Algebra of Vectors
- Chapter 23 - Scalar Or Dot Product
- Chapter 24 - Vector or Cross Product
- Chapter 25 - Scalar Triple Product
- Chapter 26 - Direction Cosines and Direction Ratios
- Chapter 27 - Straight Line in Space
- Chapter 28 - The Plane
- Chapter 29 - Linear programming
- Chapter 30- Probability
- Chapter 31 - Mean and Variance of a Random Variable

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Download E-book1. Is RD Sharma Solutions suitable for board preparations?

RD Sharma solutions have been a top choice for many students and teachers throughout the years. Their books are extremely important for self-practicing because questions from the class 12 RD Sharma chapter 3 exercise 3.2 solution often appear in board exams. In this case, students will have no problem solving common questions as they will have practiced these at home.

2. Where can I download the class 12 RD Sharma chapter 3 exercise 3.2 solution?

You will find the RD Sharma solutions at Career360. The pdf of the book is uploaded on the website and can be downloaded any time you want. In addition, the material provided is completely free of cost, so you won't have to pay anything to download the file for yourself

3. Is RD Sharma class 12 solutions Inverse Trigonometry ex 3.2 beneficial for self-practice?

The RD Sharma class 12 solutions Inverse Trigonometry ex 3.2 is an excellent book on the chapter of Inverse Trigonometry, which will help you understand the concepts in the chapter and solve trigonometric problems. They are created by experts and have many detailed but simple steps that will help you solve questions better. They are also the top choice of many students who have asserted that the questions in the book appear in board exams from time to time.

4. Are the Answers provided in RD Sharma solutions good?

The questions and solutions provided in the RD Sharma solutions book are written by experts who have a lot of experience in the education sector. Therefore, you will find them relatively easy to follow and understand. The solutions will also teach you some great methods and tricks to solve complex problems faster and simpler.

5. Is the RD Sharma class 12th exercise 3.2 book up to date with the present syllabus

You will find that the RD Sharma class 12th exercise 3.2 can be a great study guide that will give you all the answers to your NCERT questions. The book is updated every year so that it provides similar questions and answers as the NCERT books. You will be at ease knowing that the material you are using is updated according to the latest syllabus.

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