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.

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.

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CBSE    Class 12   NCERT Solutions    Mathematics

Inverse Trigonometric Functions

Determinants – Chapter 4

Determinants Chapter 4 Exercise 4.1 and 4.2

Determinants 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

NCERT Solutions for Class 12 Mathematics – Chapter 2 – Inverse Trigonometric Functions

 

CBSE NCERT Inverse Trigonometric Functions 1 CBSE NCERT Inverse Trigonometric Functions 2 CBSE NCERT Inverse Trigonometric Functions 3 CBSE NCERT Inverse Trigonometric Functions 4 CBSE NCERT Inverse Trigonometric Functions 5 CBSE NCERT Inverse Trigonometric Functions 6 CBSE NCERT Inverse Trigonometric Functions 7pdf CBSE NCERT Inverse Trigonometric Functions 8pdf CBSE NCERT Inverse Trigonometric Functions 9pdf

 

Formulas – Inverse Trigonometric Functions

 

CBSE    Class 12   NCERT Solutions    Mathematics

Inverse Trigonometric Functions

Determinants – Chapter 4

Determinants Chapter 4 Exercise 4.1 and 4.2

Determinants Chapter 4 Exercise 4.3 and 4.4

Determinants – Chapter 4 – Exercise 4.5

Determinants – Chapter 4 – Exercise Miscellaneous

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 – Exercise 7.1

 

ISC              Class 12                   Mathematics Previous Years Board Questions Solutions of Previous years Board Questions Inverse Trigonometric Functions (2000 to 2020) Inverse Trigonometric Functions (2000 to 2020) Matrices (2000 to 2020) Matrices (2000 to 2020) Determinants (2000 to 2020) Determinants (2000 to 2020) Differentiation (2000 to 2020) Differentiation (2000 to 2020) Rolle’s Theorem and Lagrange’s Mean Value Theorem (1998 to 2020) Rolle’s Theorem and Lagrange’s Mean Value Theorems (1998 to 2020) Maxima and Minima (2000 to 2020) Maxima and Minima (2000 to 2020) Integration (1990 – 2011) Integration (1990 – 2011) Integration (2012 to 2022) Integration (2012 to 2022) Differential Equations (1991 to 2005) Differential Equations (1991 to 2005) Differential Equations (2006 to 2022) Differential Equations (2006 to 2020) Probability (Addition and Multiplication Theorem-Conditional Probability) (1993 to 2022) Probability (Addition and Multiplication Theorem, Conditional Probability) (1993 to 2022) Probability (Baye’s Theorem) (2000 to 2019) Probability (Baye’s Theorem) (2000 to 2019) Probability (Probability distribution and Binomial distribution) (1992 to 2020) Probability (Probability distribution and Binomial distribution) (1992 to 2020) Application of Calculus in Commerce and Economics (2005 to 2020) Application of Calculus in Commerce and Economics (2005 to 2020) Linear Programming (2008 to 2020) Linear Programming (2008 to 2020) Linear Regression (2005 to 2022)

MCQ              Class 12         Mathematics Relations and Functions Inverse Trigonometric Functions Matrices Determinants Continuity and Differentiability Tangents and Normals Maxima and Minima Increasing and Decreasing Functions Application of Calculus in Commerce and Economics (Set I) Application of Calculus in Commerce and Economics (Set II) Integration MCQs (Set 1)  Integration MCQs (Set 2) Specimen Paper for Semester 1 – 2021 – ISC – Class XII Mathematics Linear Regression

 

ISC   –   Class 12  –  Mathematics  –  Sem 2  –  2022  – Sample Paper                             Sample Paper 1                             Sample Paper 2

ISC – Class 12 –  Mathematics – Sem 1 – 2021 – Sample Paper                          Specimen Paper

ISC- Class 12 – Mathematics – Sem 2 – 2022 – Chapterwise Questions                       Differential Equations (Set 1)                       Differential equations (Set 2)                       Integration                      Probability                      Linear Programming (LPP)

 

ICSE – Class 10  -Mathematics   –     Sem 2  –    2022 – Sample Paper                               Sample Paper 1                Solutions of Sample Paper 1

ICSE – Class 10 – Mathematics –  Sem 1-  2021 – Sample Paper Mock Question Paper

 

MCQ               Class 10            Mathematics Banking (Set 1) Banking (Set 2) GST Linear Inequations (Set 1) Linear Inequations (Set 2) Quadratic Equations Factorization Ratio and Proportion Matrices Arithmetic Progression (A.P.) Similarity (Set 1) Similarity (Set 2)  Reflection Section Formula  Straight Lines  Probability Circle (Set 1) Circle (Set 2) Mock Question Paper for Semester 1 (2021) ICSE Class X Mathematics ICSE Class X – Specimen Question Paper released by CISCE for Semester 1 (2021) – Mathematics

 

MCQ         Class 10      Physics Sound

 

 

Formula             Mathematics Formula and Theorems for Class X Class XI Formula Trigonometry Inverse Trigonometric Functions – Class 12   Differentiation and Limits for Class 11 and 12   Integration for Class 11 and 12    Linear Regression – Class 12- ISC

 

ISC / ICSE  Board Paper ISC  – Class 12 – 2020 – Mathematics Question Paper ISC –  Class 12 – 2019 –  Mathematics Question Paper ICSE – Class 10 – 2020- Mathematics Question Paper  ICSE – Class 10 – 2019 – Mathematics Question Paper ICSE – Class 10 – 2018 – Mathematics Question Paper ICSE – Class 10 – 2019 – Physics Question Paper ICSE – Class 10 – 2018 – Physics Question Paper  ICSE – Class 10 -2020- Mathematics Question Paper– Solutions

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