Read and download NCERT Class 12 Maths Inverse Trigonometric Functions in NCERT book for Class 12 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 12 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 12 Mathematics to understand the answers of the exercise questions given at the end of this chapter
NCERT Book for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions
Class 12 Mathematics students should refer to the following NCERT Book Chapter 2 Inverse Trigonometric Functions in Class 12. This NCERT Book for Class 12 Mathematics will be very useful for exams and help you to score good marks
Chapter 2 Inverse Trigonometric Functions NCERT Book Class 12
2.1 Introduction
In Chapter 1, we have studied that the inverse of a function f, denoted by f –1, exists if f is one-one and onto. There are many functions which are not one-one, onto or both and hence we can not talk of their inverses. In Class XI, we studied that trigonometric functions are not one-one and onto over their natural domains and ranges and hence their inverses do not exist. In this chapter, we shall study about the restrictions on domains and ranges of trigonometric functions which ensure the existence of their inverses and observe their behaviour through graphical representations. Besides, some elementary properties will also be discussed.
The inverse trigonometric functions play an important role in calculus for they serve to define many integrals. The concepts of inverse trigonometric functions is also used in science and engineering.
2.2 Basic Concepts
In Class XI, we have studied trigonometric functions, which are defined as follows:
sine function, i.e., sine : R ® [– 1, 1]
cosine function, i.e., cos : R ® [– 1, 1]
tangent function, i.e., tan : R – { x : x = (2n + 1), π/2 ∈ Î Z} → R
cotangent function, i.e., cot : R – { x : x = np, n ∈ Z} →R
secant function, i.e., sec : R – { x : x = (2n + 1) 2/p , n Î Z} ® R – (– 1, 1)
cosecant function, i.e., cosec : R – { x : x = np, n Î Z} ® R – (– 1, 1)
Please refer to attached file for NCERT Class 12 Maths Inverse Trigonometric Functions
| NCERT Class 12 Maths Relations and Functions |
| NCERT Class 12 Maths Inverse Trigonometric Functions |
| NCERT Class 12 Maths Matrices |
| NCERT Class 12 Maths Determinants |
| CBSE Class 12 Maths Continuity and Differentiation |
| NCERT Class 12 Maths Continuity and Differentiability |
| NCERT Class 12 Maths Application of Derivatives |
| CBSE Class 12 Maths Integrals |
| NCERT Class 12 Maths Integrals |
| NCERT Class 12 Maths Application of Integrals |
| NCERT Class 12 Maths Differential Equations |
| CBSE Class 12 Maths Vector Algebra |
| NCERT Class 12 Maths Vector Algebra |
| NCERT Class 12 Maths Three Dimensional Geometry |
| NCERT Class 12 Maths Linear Programming |
| NCERT Class 12 Maths Probability |
| NCERT Class 12 Mathematics Answers and Solutions |
| NCERT Class 12 Mathematics Answers and Solutions |
| NCERT Class 12 Mathematics Proofs In Mathematics |
| NCERT Class 12 Mathematics Mathematical Modeling |
Mathematics NCERT Book Class 12 Chapter 2 Inverse Trigonometric Functions
The above NCERT Books for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 2 Inverse Trigonometric Functions Mathematics Class 12 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 2 Inverse Trigonometric Functions NCERT etextbooks as the exams for Class 12 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 12 Chapter 2 Inverse Trigonometric Functions book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 12 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 12 students.
NCERT Book Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions
The latest NCERT book for Chapter 2 Inverse Trigonometric Functions pdf have been published by NCERT based on the latest research done for each topic which has to be taught to students in all classes. The books for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions are designed to enhance the overall understanding of students. All Class 12 NCERT textbooks have been written in an easy to understand language which will help to enhance the overall level of Class 12 students.
Chapter 2 Inverse Trigonometric Functions NCERT Book Class 12 Mathematics
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Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions NCERT Book
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Class 12 Chapter 2 Inverse Trigonometric Functions NCERT Book Mathematics
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You can download the NCERT Book for Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions for latest session from StudiesToday.com
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