CBSE Class 12 Maths Chapter 2 Inverse Trigonometric Functions MCQs 2026: Download PDF

Maths Inverse Trigonometric Functions MCQs: The Central Board of Secondary Education (CBSE) has released the latest curriculum for the Class 12 mathematics course, and multiple choice questions will comprise a significant portion of the final board exam.

The CBSE 12th maths is one of the most chosen subjects and the exam is given by millions of students. It’s essential to stay up to date with the latest exam pattern and types of questions asked.

Maths is a concept-based subject that demands immense practice. The MCQs require critical thinking along with fast calculation skills as well, especially in chapters like Inverse Trigonometric Functions. Many students face trouble with trigonometry and the many identities and formulae it requires. However, if you check out the following MCQs for CBSE class 12 Maths chapter 2 Inverse Trigonometric Functions, it’s bound to ease your nerves and boost confidence. The questions range in difficulty level from easy to hard.

Key Features

MCQs for CBSE Class 12 Maths Chapter 2 Inverse Trigonometric Functions 2026

1. Which of the following is the principal value of sin^-1(1)?

a) π/2

b) π/4

c) π

c) 0

2. The domain of the function f(x) = sin^-1(x) is:

a) [-1, 1]

b) (-∞, ∞)

c) [0, 1]

c) [0, π/2]

3. The value of tan^-1(√3) is:

a) π/4

b) π/3

c) π/6

c) 2π/3

Related: CBSE Class 12 Sample Paper 2025-26: Download 12th Subject-wise Paper PDF and Marking Scheme

4. The value of cos(sin^-1(1/2)) is:

a) √2/2

b) √3/2

c) 1/2

c) 2/√3

5. The range of the function f(x) = tan^-1(x) is:

a) (-∞, ∞)

b) [0, π/2)

c) [-π/2, π/2]

c) (-π/2, π/2)

Related: CBSE Class 12 Mathematics Syllabus 2025-26: Download PDF

6. The value of sin(cos^-1(1/2)) is:

a) √3/2

b) 1/√3

c) 2/√3

c) 1/2

7. The value of sec^-1(2) is:

a) π/2

b) π/3

c) π/6

c) 2π/3

8. The value of cos^-1(0) is:

a) π/2

b) π/4

c) π

c) 0

Also Check: NCERT Book for Class 12 Maths 2025-26 All Chapters, PDF Download

9. The principal value of cot^-1(√3) is:

a) π/2

b) π/3

c) π/6

c) 2π/3

10. The value of sin^-1(sin(5π/4)) is:

a) 5π/4

b) 3π/4

c) π/4

c) 7π/4

11. The value of the expression sin [cot^-1(cos (tan^-11))] is

a) 0

b) 1

c) 1/√3

d) √(2/3)

12. The range of sin^-1x + cos^-1x + tan^-1 x is

a) [0, π]

b) [π/4,3π/4]

c) (0, π)

d) [0,π/2]

13. Find the value of sec2 (tan^-12) + cosec2 (cot^-13)

a) 12

b) 5

c) 15

d) 9

14. The value of cot^-19 + cosec^-1(41√4) is given by

a) 0

b) π/4

c) tan^-12

d) π/2

 15. 

a) π/4 + 1/2cos^-1x

b) π/4 - 1/2cos^-1x

c) -π/4 + 1/2cos^-1x

d) -π/4 - 1/2cos^-1x

16) Assertion (A): If n(A)=m, then the number of reflexive relation on A is m.
Reason(R ):A relation R on set A is said to be reflexive if (a, a) ∊ R ⩝ a ∊ A.

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the
Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the
Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.

18) Assertion (A):The relation f:{1,2,3,4}→{x, y, z, p} defined by f = {(1, x), (2, y), (3, z)} is a bijective function
Reason (R): The relation f:{1,2,3,4}→{x, y, z, p} defined by f = {(1, x), (2, y), (3, z), (4, p)} is one-one.

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the
Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the
Assertion (A).

(C) Assertion (A) is true, but Reason (R) is false.

(D) Assertion (A) is false, but Reason (R) is true.

19. Let N denote the set of all natural numbers and R be the relation on N x N defined by (a , b) R (c,d) imply that ad(b+c) = bc(a+d).
Check whether R is an equivalence relation or not on N x N.

20) Let A={1,2,3},B ={4,5,6,7} and let f = {(1,4), (2,5), (3,6)} be a function from A to B. State
whether f is one-one or not. Justify your answer.

21)Let S be the set of all real numbers. Then the relation R = {(a, b): 1 + ab > 0} on S is:

22) Test whether the relation R on Z defined by R = {(a,b): |a –b|≤ 5} is reflexive, symmetric, and transitive.

23) A student wants to pair up natural numbers in such a way that they satisfy the equation 2x + y = 41, x, y ∈ N.Find the domain and range of the relation. Check if the relation thus formed is reflexive, symmetric and transitive. Hence, state whether it is an equivalence relation or not.

24) Let L be the set of all lines in XY plane and R be the relation on L defined as R = { (L1,L2): L1 is parallel to L2} .

25) If N denotes the set of all natural numbers and R is the relation on N × N defined by (a, b) R (c, d) if ad(b + c) = b c(a + d). Show that R is an equivalence relation.

 The sample questions here are prepapred by subejct matter experts thus, these questions can be a direct examples of how questions can be asked in your CBSE Class 12 Maths paper. Since the questions are focused on Chapter 2-  Inverse Trigonometric Functions, primarily giving you a broader option to solve and analyse the differnt types of questions from the topic alone. 

MCQs for CBSE Class 12 Maths Chapter 2 Inverse Trigonometric Functions: Downlaod PDF

Students can also access the Class 12 Maths MCQs of Chapter 2 Inverse Trignometric Functions from the link shared below. The PDF includes all the questions shared in the article to download. 

Recommended:

NCERT Solutions for Class 12 Maths PDF: Updated for 2025-26

CBSE Class 12 Maths Deleted Syllabus 2025-26: Check Topics Not To Prepare for Board Exam

CBSE Class 10 Maths Exam Pattern 2026 with Marking Scheme and Topic-wise Weightage