Inverse Trigonometric Functions - MCQ ( class 12 Maths )

Inverse Trigonometric Functions - MCQ ( class 12 Maths )

i5 academy- Mcq questions ( 12th Maths )

Quiz

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1. Which of the following is the principle value of branch of sin^(-1)⁡x ?
   1.   [-π/2 ,π/2]
   2.   [0 ,π ]
   3.   [-π/2 ,π/2] - { 0}
   4.   [0 ,π ] – { π/2 }
2. Which of the following is the principle value of branch of Cos^(-1)⁡x ?
   1.   [-π/2 ,π/2]
   2.   [0 ,π ]
   3.   [-π/2 ,π/2] - { 0}
   4.   [0 ,π ] – { π/2 }
3. Which of the following is the principle value of branch of tan^(-1)⁡x ?
   1.   (-π/2 ,π/2)
   2.   [0 ,π ]
   3.   (-π/2 ,π/2) - { 0}
   4.   [0 ,π ] – { π/2 }
4. Which of the following is the principle value of branch of Cosec^(-1)⁡x ?
   1.   (-π/2 ,π/2)
   2.   [0 ,π ]
   3.   [-π/2 ,π/2] - { 0}
   4.   [0 ,π ] – { π/2 }
5. Which of the following is the principle value of branch of sec^(-1)⁡x ?
   1.   (-π/2 ,π/2)
   2.   [0 ,π ]
   3.   [-π/2 ,π/2] - { 0}
   4.   [0 ,π ] – { π/2 }
6. Which of the following is the principle value of branch of cot^(-1)⁡x ?
   1.   (-π/2 ,π/2)
   2.   (0 ,π )
   3.   [-π/2 ,π/2] - { 0}
   4.   [0 ,π ] – { π/2 }
7. Find the Principle value of cos^(-1)⁡(√3/2)
   1.   π/6
   2.   (-π)/6
   3.   π/3
   4.   (-π)/3
8. Find the Principle value of sin^(-1)⁡(-1/2)
   1.   π/6
   2.   (-π)/6
   3.   π/3
   4.   (-π)/3
9. Find the Principle value of an^(-1)⁡ ( -√3)
   1.   π/6
   2.   (-π)/6
   3.   π/3
   4.   (-π)/3
10. Find the Principle value of cos^(-1)⁡((-1)/√2) ?
    1.   π/6
    2.   (-3π)/6
    3.   3π/4
    4.   (-π)/3
11. cos^(-1)⁡(cos⁡〖2π/3 〗 )+ sin^(-1)⁡(sin⁡〖2π/3 〗 )= ------- ?
    1.   π/5⁡
    2.   π
    3.   5π/6
    4.   2π/3
12. sin^(-1)⁡(sin⁡〖4π/5 〗 )= ------- ?
    1.   π/5⁡
    2.   π
    3.   5π/6
    4.   2π/3
13. cos^(-1)⁡(cos⁡〖7π/6 〗 )=------- ?
    1.   π/5⁡
    2.   π
    3.   5π/6
    4.   2π/3
14. The domain of the function of cos^(-1)⁡〖(2x-1) is〗 ?
    1.   [0,1]
    2.   [-1,1]
    3.   [ 0, π]
    4.   ( 0,1)
15. The domain of the function of sin^(- 1) x?
    1.   [0,1]
    2.   [-1,1]
    3.   [ 0, π]
    4.   ( 0,1)
16. Find the Principle value of sec^(-1)⁡(-2) ?
    1.   2π/6
    2.   (-2π)/6
    3.   2π/3
    4.   (-2π)/3
17. Find the Principle value of tan^(-1)⁡(tan⁡〖3π/4 〗 )
    1.   π/4
    2.   (-π)/4
    3.   π/3
    4.   (-π)/3
18. sin^(-1)⁡((-1)/2⁡ )+ tan^(-1)⁡〖(1)〗 = ----- ?
    1.   π/12
    2.   (-π)/12
    3.   2π/3
    4.   (-2π)/3
19. sin^(-1)⁡((-1)/2⁡ )+ cos^(-1)⁡((-1)/2) = ----- ?
    1.   π/2
    2.   (-π)/2
    3.   π/3
    4.   (-π)/3
20. Find the Principle value of tan^(-1)⁡(√3) + cot^(-1)⁡(-√3)?
    1.   5π/6
    2.   (-π)/6
    3.   7π/6
    4.   (-π)/3

Inverse trigonometric functions - MCQ with answers