The inverse of a Function:
The corresponding to every bijection (one-one onto function) ƒ : A → B there exists a bijection g : B → A defined by
g(y) = x if and only if f(x) = y.
The function g : B → A is called the inverse of function ƒ : A → B and is denoted by ƒ^-1.
We know that trigonometric functions are periodic functions and in general, all trigonometric functions are not bijections. Consequently, their inverses do not exist. However, if we restrict their domains and codomains, they can be made bijections and their inverses can be obtained.
Thank you for visiting the website.
Please comment in the comment box whether the post is helpful or not.
Online LIVE Mathematics Tuition by Tapati Sarkar
Class 8 to 12 (ICSE, ISC, CBSE) – Two days per week
Contact: tapatisclasses@gmail.com
XII M B Q S ISC Inverse Trigonometric Functions (2020 to 2023) 1 XII M B Q S ISC Inverse Trigonometric Functions (2020 to 2023) 2 XII M B Q S ISC Inverse Trigonometric Functions (2020 to 2023) 3 XII M B Q S ISC Inverse Trigonometric Functions (2020 to 2023) 4
MCQ Class 12 Mathematics
|
Chapterwise Model Questions – Class 12 – Mathematics |
Matrices (Set1) |
Determinants |
ISC – Class 12 – Mathematics – Sem 2 – 2022 – Sample Paper
|
ISC – Class 12 – Mathematics – Sem 1 – 2021 – Sample Paper
|
ISC- Class 12 – Mathematics – Sem 2 – 2022 – Chapterwise Questions
|
CBSE Class 12 NCERT Solutions Mathematics
Inverse Trigonometric FunctionsDeterminants – Chapter 4
Determinants Chapter 4 Exercise 4.1 and 4.2Determinants Chapter 4 Exercise 4.3 and 4.4
Determinants – Chapter 4 – Exercise 4.5
Determinants – Chapter 4 – Exercise Miscellaneous
Continuity and Differentiability – Chapter 5
Continuity and Differentiability – Chapter 5 – Exercise 5.2 Continuity and Differentiability – Chapter 5 – Exercise 5.3
Continuity and Differentiability – Chapter 5 – Exercise 5.4
Continuity and Differentiability – Chapter 5 – Exercise 5.5
Continuity and Differentiability – Chapter 5 – Exercise 5.6
Continuity and Differentiability – Chapter 5 – Exercise 5.7
Integrals – Chapter 7
Integrals – Chapter 7 – Exercise 7.1
Integrals – Chapter 7 – Exercise 7.2 – Integration by substitution
Integrals – Chapter 7 – Exercise 7.3 – Integrations using trigonometric identities
Integrals – Chapter 7- Exercise 7.4
Integrals – Chapter 7 – Exercise 7.5 – Integration by partial Fractions
Integrals –Chapter 7 – Exercise 7.6 – Integration by parts
Integrals – Chapter 7- Exercise 7.7 – Some special types of standard integrals
Integrals – Chapter 7 – Exercise 7.9 – Definite Integrals (1)Integrals –Chapter 7- Exercise 7.10- Definite Integrals (2) – Definite Integrals by Substitution
ISC / ICSE Board Paper
|
Contents – Tapati’s Classes |