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Inverse Trigonometric Functions Class 12 MCQs Questions with Answers

MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric with Answers

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1. The value of tan(tan-1 4/5 + tan-1 2/3) is

 6/17

 7/16

 17/6

 None of these

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

  [0, π]

 [π/4  , 3π/4]

 (0, π)

 [0 , π/2]

3. Princal value of tan-1 (-1) is

 π/4

 −π/2

 5π/4

 −π/4

4. The value of x for which sin |cot-1(1 – x)| = cos (tan-1 x) is

  2/1

 1

 0

 1/2

5. The domain of the function cos-1 (2x – 1) is

 [0, 1]

  [-1, 1]

 [-1, -1]

 [0, π]

6.  

If 

For  then x equals

  

  1

    

 -1

7. The principle value of sin-1 √3/2 is

 2π/3

 π/6

 π/4

  π/3

8. sin-1(−1/2)

 π/3

 –π/3

  π/6

 –π/6

9. If tan-1 x + tan-1 y = 4π/5 then cot-1 x + cot-1 y equals

 π/5

 2π/5

 3π/5

  π

10. The value of sin (2tan-1 (0.75)) is equal to

 0.75

 1.5

 0.96

 sin 1.5

11. Simplified form of cos-1 (4×3 – 3x)

 3 sin-1x

 3 cos-1x

 π – 3 sin-1x

 None of these

12. If y = sec-1 x then

  0 ≤ y ≤ π

 0 ≤ y ≤ π/2

 –π/2 < y < π/2

  None of these

13. cos-1[cos(2cot-1(√2 – 1))] = ______

 √2 – 1

 1 + √2

 π/4

 3π/4

14. If sin-1 x + sin-1 y = 2π/3 then cos-1 x + cos-1 y =

 2π/3

  π/4

 π/3

  π/2

15. sin(sec-1 x + cosec-1x) =

 1

 -1

 π/2

 π/3

16. sin-1 (sin2π/3) =

  2π/3

 π/6

 4π/3

 π/3

17. If x + 1/x = 2 then the principal value of sin-1 x is x

 π/4

 π/2

 π

 3π/2

18. Number of solutions of the equation
tan-1 (1/2x+1) + tan-1 (1/4x+1) = tan-1 (2/x²)

 1

 2

 3

 4

19. If 6sin-1 (x2 – 6x + 8.5) = π, then x is equal to

 1

 2

 3

 8

20.  If cos–1 x > sin–1 x then

  x < 0

  –1 < x < 0

  

 

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