# MCQ Questions Chapter 2 Inverse Trigonometric Functions Class 12 Mathematics

Please refer to MCQ Questions Chapter 2 Inverse Trigonometric Functions Class 12 Mathematics with answers provided below. These multiple-choice questions have been developed based on the latest NCERT book for class 12 Mathematics issued for the current academic year. We have provided MCQ Questions for Class 12 Mathematics for all chapters on our website. Students should learn the objective based questions for Chapter 2 Inverse Trigonometric Functions in Class 12 Mathematics provided below to get more marks in exams.

## Chapter 2 Inverse Trigonometric Functions MCQ Questions

Please refer to the following Chapter 2 Inverse Trigonometric Functions MCQ Questions Class 12 Mathematics with solutions for all important topics in the chapter.

MCQ Questions Answers for Chapter 2 Inverse Trigonometric Functions Class 12 Mathematics

Question. Which of the following is the principal value branch of cos-1 x?

C

Question.

(a) 0
(b) a/2
(c) a
(d) 2a/1- a2

d

Question. The domain of the function defined by

(a) [1, 2]
(b) [-1,1]
(c) [0, 1]
(d) None of these

A

Question.

(a) 1/5
(b) 2/5
(c) 0
(d) 1

B

Question. Which of the following is the principal value branch of cosec -1x ?

D

Question.

(a) π/6
(b) 5π/6
(c) 7π/6
(d) 1

B

Question.

(a) π/5
(b) 2π/5
(c) 3π/5
(d) π

A

Question. The value of sin[2tan-1 (0.75)] is
(a) 0.75
(b)1.5
(c) 0.96
(d) sin1.5

C

Question. If 3tan-1 x + cot-1 x = p, then x equals to
(a) 0
(b) 1
(c) -1
(d) 1/2

B

Question.

(a) 3π/5
(b) -7π/5
(c) π/10
(d) -π/10

D

Question. The domain of the function cos-1(2x – 1)  is
(a) [0, 1]
(b) [-1, 1]
(c) (-1,1)
(d) [0, p]

A

Question.

(a) π/2
(b) 3π/2
(c) 5π/2
(d) 7π/2p

A

Question.

(a) 25/24
(b) 25/7
(c) 24/25
(d) 7/24

D

Question. If cos-1 α + cos-1 β + cos-1 y = 3π, then α (β + y) + β (y + α) + y (α + β) Equals to
(a) 0
(b) 1
(c) 6
(d) 12

C

Question. The number of real solutions of the equation

(a) 0
(b) 1
(c) 2
(d) ∞

A

Question.

B

Question.

(a) 4 tan-1 x
(b) 0
(c) π/2
(d) π

A

Question. If cos-1 x > sin-1 x, then

C

True/False

Question. The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.

True

Question. The value of the expression (cos-1 x)2 is equal to sec2 x.

False

Question.

True

Question. The graph of inverse trigonometric function can be obtained from the graph of their corresponding function by interchanging X and Y-axes.

True

Question. The least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function.

True

Question. All trigonometric functions have inverse over their respective domains.