# Class 12 Math Chapter 2 MCQ Question Answer – Inverse Trigonometric Functions NCERT Solution

NCERT Class 12 Math Inverse Trigonometric Function Chapter 2 MCQ Question Answer for Preparation of Exams. Here we Provide Class 12 Math Question Answer, Important Questions, MCQ for Various State Boards Students like CBSE, Haryana, uttar pradesh, mp and other state students.

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NCERT Class 12 Math Chapter 2 Inverse Trigonometric Function MCQ Question Answer Solution.

## Inverse Trigonometric Function Class 12 Math Chapter 2 MCQ Question Answer

Multiple Choice Questions and Answer for Easy to Understand the Chapter.

1. The principal value of tan-1x is :
(A) [0, π/2]
(B) [0, π]
(C) [-π/2, π/2]
(D) None of these

Ans. (D) None of these

2. The principal value of cos-1x  is :
(A) [0, π]
(B)  (-π/2, π/2)
(C) [-π/2, π/2]
(D) None of these

Ans. (A) [0, π]

3. The principal value of sin-1x is :
(A) [0, π]
(B) [-π/2, π/2]
(C) [0, 2π]
(D) None of these

Ans. (B) [-π/2, π/2]

4. The value of cos-1(-½)  is :
(A) 2π/3
(B) π/4
(C) π/2
(D) None of these

Ans. (A) 2π/3

5. The value of tan-1(-√3) is :
(A) π/3
(B) -π/6
(C) -π/3
(D) None of these

Ans. (C) -π/3

6. The value of cos-1(√3/2) is :
(A) π/3
(B) π/4
(C) π/6
(D) None of these

Ans. (C) π/6

7. The value of cos(sec-15/3) is:
(A)3/5
(B) 5/3
(C) 5/4
(D) 4/5

Ans. (A)3/5

8. The value of cos(tan-1¾)is :
(A) 5/4
(B) 3/4
(C) 5/3
(D) 4/5

Ans. (D) 4/5

9. sin[π/3 – sin-1(-½)] is equal to
(A) ½
(B) 1/3
(C) 1/4
(D) 1

Ans. (D) 1

10. sin-1(1-x)-2sin-1x = Π/2 then x is equal to
(A) 0, ½
(B) 1, ½
(C) 0
(D) ½

Ans. (C) 0

11. The principal value of {cot-1(-1/√3)} is :
(A) π/6
(B) π/4
(C) 2π/3
(D) π

Ans. (C) 2π/3

12. tan-1(√3) – cot-1(-√3) is equal to :
(A) -π/2
(B) 2√3
(C) 0
(D) π

Ans. (A) -π/2

13. cos-1(½) + 2sin-1(½) is equal to :
(A) 2π/3
(B) π/2
(C) 3π/4
(D) π

Ans. (A) 2π/3

14. tan-1(√3) – sec-1(-2) is equal to :
(A) π/3
(B) -π/3
(C) 2π/3
(D) π

Ans. (B) -π/3

15. Which of the following statement is false?
(A) sin-1x + cos-1x = Π/2
(B) cosec-1x + sec-1x = Π/2
(C) tan-1x + cot-1x = Π/2
(D) None of the above