# MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions with answers

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Below you will find MCQ Questions of Chapter 2 Inverse Trigonometric Functions Class 12 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 12 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions with answers

1. The number of solution(s) of the equation, sin–1x + cos–1 (1 – x) = sin–1 (– x), is/are

(a) 0

(b) 1

(c) 2

(d) More than 2

► (b) 1

2. If   , then the maximum value of 'n' is

(a) 1

(b) 5

(c) 9

(d) None of these

► (b) 5

3. The values of x which satisfy the trigonometric equation   are :

(a) ±1/2

(b) ±√2

(c) ±2.

(d) ± 1/√2

► (d) ± 1/√2

4. The value of  is

(a) π - x/2

(b) π/2 + x/2

(c) x/2

(d) 2π - x/2

► (b) π/2 + x/2

5. If x< 0 then value of tan-1(x) + tan-1 (1/x) is equal to

(a) π/2

(b) –π/2

(c) 0

(d) None of these

► (b) –π/2

6. The principal value of cos–1 (cos 5) is

(a) 5

(b) π – 5

(c) 5 –π

(d) 2π  – 5

► (d) 2π  – 5

7. The sum  is equal to

(a) tan–1 2 + tan–1 3

(b) 4 tan–1 1

(c) π/2

(d) sec-1 (-√2)

► (a) tan–1 2 + tan–1 3

8. The value of sin  is

(a) 7/25

(b) -24/25

(c) 24/25

(d) None of these

► (b) -24/25

9. Evaluate: sin (2 sin–10.6)​

(a) 0.6

(b) 0.66

(c) 0.36

(d) 0.96

► (d) 0.96

10. If x ∈ R, x ≠ 0, then the value of sec θ + tan θ is

(a) 1/2x

(b) 2x or 1/2x

(c) 2x

(d) None of these

► (b) 2x or 1/2x

11. If ƒ(x) = -2x+8, then f-1(1) =

(a) 9/2

(b) 7/2

(c) 2/9

(d) 0

► (b) 7/2

12. The value of sin–1 (sin 12) + cos–1 (cos 12) is equal to

(a) Zero

(b) 24 – 2π

(c) 4π – 24

(d) None of these

► (a) Zero

13. If 5 sin θ = 3, then  is equal to

(a) 4

(b) 1/4

(c) 2

(d) None of these

► (a) 4

14. cos-1(cos7π/6) is equal to

(a) 7π/6

(b) 5π/6

(c) π/3

(d) π/6

► (b) 5π/6

15. If ab + bc + ca = 0, then find 1/a2-bc + 1/b2 – ca + 1/c2- ab

(a) π

(b) 0

(c) -1

(d) 2π

► (b) 0

16. The equation sin-1 x - cos-1 x = has

(a) No solution

(b) Unique solution

(c) Infinite number of solutions

(d) None of these

► (b) Unique solution

17. If 5 sin θ = 3, then  is equal to

(a) 4

(b) 1/4

(c) 2

(d) None of these

► (a) 4

18. The number of solution(s) of the equation Sin-1(1 – x) – 2sin-1 x = π/2 , is or are

(a) 1

(b) 0

(c) 2

(d) More than two

► (a) 1

19. The number of solutions of the equation cos-1(1-x) - 2cos-1 x = π/2 is

(a) One

(b) Two

(c) More than one

(d) None of these

► (a) One

20. If ƒ(x) = tan(x), then f-1(1/√(3)) =

(a) π/6

(b) π/4

(c) π/3

(d) π

► (a) π/6

21. The principal value of cos–1 (cos 5) is

(a) 5

(b) π – 5

(c) 5 – π

(d) 2π – 5

► (d) 2π – 5

22. If cos(-1)x + cos(-1)y = 2π, then the value of sin(-1)x + sin(-1)y is

(a) −π

(b) π

(c) 0

(d) None of these

► (a) −π

Hope the given MCQ Questions will help you in cracking exams with good marks. These Inverse Trigonometric Functions MCQ Questions will help you in practising more and more questions in less time.

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