Inverse Trigonometric Functions – Previous Years Board Questions (2020 to 2023) with Solutions of ISC Class 12 Mathematics

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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.

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                   ISC              Class 12                   Mathematics

Previous Years Board Questions Solutions of Previous years Board Questions
Inverse Trigonometric Functions (2000 to Sem 1-2021) Inverse Trigonometric Functions (2000 to Sem 1-2021)
Inverse Trigonometric Functions – (2020 to 2023)
 Inverse Trigonometric Functions – (2020 to 2023) 
Matrices (2000 to Sem 1 – 2021) Matrices (2000 to Sem 1-2021)
Matrices –(2020 to 2023)
 Matrices- (2020 to 2023)
Determinants (2000 to Sem1-2021) Determinants (2000 to Sem1-2021)
Differentiation (2000 to Sem 1- 2021) Differentiation (2000 to Sem 1- 2021)
L’ Hospital’s Rule (2001 to Sem1-2021)
L’ Hospital’s Rule (2001 to Sem1-2021)
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 Sem 1-2021) Maxima and Minima (2000 to Sem 1 – 2021)
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 2022)
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 Sem 2-2022) Probability (Baye’s Theorem) (2000 to Sem 2-2022)
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 Sem 1-2021) Application of Calculus in Commerce and Economics (2005 to Sem 1-2021)
Linear Programming (2008 to Sem 2-2022) Linear Programming (2008 to 2022)
Linear Regression (2005 to 2013)
 Linear Regression – (2005 to 2013)
 Linear Regression (2014 to 2022) Linear Regression –  (2014 to 2022)  

 

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

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
 Chapterwise Model Questions   –  Class 12 – Mathematics
Matrices (Set1)
Determinants
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)

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

ISC  – Class 12 – 2020 – Mathematics Question Paper
ISC –  Class 12 – 2019 –  Mathematics Question Paper
ISC Class 12 Semester 1- 2021 Mathematics Question Paper with Solution
ISC – Class 12 – Semester 2-2022 Mathematics Question Paper with Solution
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 PaperSolutions

 

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