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NCERT Solutions for Class 12 Maths Chapter 2 Exercise 2.2 Inverse Trigonometric Functions - PDF Download

JEE Mains & Advanced

NCERT solutions for class 12 maths chapter 2 exercise 2.2 Inverse Trigonometric Functions comprises questions based on properties of inverse trigonometric functions. All these properties are formed in formulas that will be valid only for some values for which inverse trigonometric functions are defined. Further, you will learn the proof of these properties. To ensure that the class 12 maths NCERT solutions chapter 2 ex 2.2 is successfully completed, it is crucial to establish a thorough grasp of concepts.

Class 12 maths chapter 2 exercise 2.2 NCERT solutions has 15 questions. These questions might require you to use your knowledge of properties of inverse trigonometric functions to solve expressions, demonstrate the validity of an equation, or simplify inverse trigonometric expressions. Ex 2.2 class 12 maths chapter 2 has been formulated by subject experts of eSaral in which every concept is explained in a well structured manner. Ex 2.2 class 12 maths solutions are available in PDF format which will help you to learn and understand the concepts. You can download the PDF for free from the official website of eSaral.

Topics Covered in Exercise 2.2 Class 12 Mathematics Questions

Ex 2.2 class 12 maths ch 2 has a topic which talks about properties of inverse trigonometric functions. This topic is explained in detail by our expert teachers of eSaral.

1.

Properties of Inverse Trigonometric Functions

  1. Properties of Inverse Trigonometric Functions 

Here, several significant properties of inverse trigonometric functions will be demonstrated. It should be noted here that these results are true whenever they are defined and within the principal value branches of the relevant inverse trigonometric functions. Not all values of the inverse trigonometric function domains will give the same results. In fact, they will be valid only for some values of x for which inverse trigonometric functions are defined. 

Let us recall that if y = sin–1x, then x = sin y and if x = sin y, then y = sin–1x. This is equivalent to

sin (sin–1 x) = x, x ∈ [– 1, 1] and sin–1 (sin x) = x, x ∈ -2,2

For suitable values of domain similar results follow for remaining trigonometric functions.

Tips for Solving Exercise 2.2 Class 12 Chapter 2 Inverse Trigonometric Functions

To solve questions of ex 2.2 class 12 maths chapter 2, you need to understand each topic carefully. Here, our subject experts have combined some useful tips and techniques to solve all the questions easily.

  1. Ex 2.2 class 12 maths ch 2 is based on many formulas so you must remember all the formulas before solving the exercise questions.

  2. IF you are trying to solve questions of class 12 maths chapter 2 exercise 2.2 NCERT solutions, it is not always necessary to break down terms on the left while solving problems that require proving an equation. Select the equation that is the simplest, no matter which side of the equation appears on in the equation.

  3. Students must revise the concepts of inverse trigonometric function before final exams.

Importance of Solving Ex 2.2 Class 12 Maths Chapter 2 Inverse Trigonometric Functions

Class 12 maths chapter 2 solutions have many advantages of solving questions of ex 2.2. Our experts of mathematics have provided here some of them which you can check below.

  1. NCERT solutions class 12 maths ch 2 ex 2.2 has a topic related to properties of inverse trigonometric functions which has been described in a detailed manner for students to solve questions without any confusion.

  2. There are some complex questions in ex 2.2, for that you need to have proper knowledge of concepts mentioned in exercise 2.2. eSaral’s subject experts have explained these topics in simple language and precise manner so that you can comprehend the concept behind every question.

  3. NCERT solutions class 12 maths ch 2 also provides examples, sample questions and graphs associated with the topic of ex 2.2 that will help you to master the concepts and solve all questions asked in exams.

  4. By practicing questions in NCERT solutions will increase your self-confidence and problem solving skills. 

Frequently Asked Questions 

Question 1. Is it necessary to memorise the principal value of basic inverse trigonometric functions?

Answer 1. No, it is not necessary but when you remember the principal value of basic inverse trigonometric functions, it becomes easy to solve the questions.

Question 2. How can I solve proof related questions in NCERT solutions class 12 maths chapter 2 ex 2.2?

Answer 2. You must follow the step by step method to solve proof related questions. You must know what is given in question and according to that you should solve the questions.

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