CUET Mathematics MCQs Inverse Trigonometric Functions

Question 28. sin^-1(−1/2)

(a) π/3

(b) –π/3

(c) π/6

(d) –π/6

Answer : D

Question 26. If sin^-1(2a/1+a²) + cos-1(1−a²/1+a²) = tan^-1(2x/1−x²) where a, x ∈ |0, 1| then the value of x is

(a) 0

(b) a²

(c) a

(d) 2a/1−a²

Answer : D

Question 31. cosec^-1(−2/√3)

(a) –π/3

(b) π/3

(c) π/2

(d) –π/2

Answer : A

Question 6. If x + (1/𝑥) = 2 then the principal value of sin^-1 x is

(a) π/4

(b) π/2

(c) π

(d) 3π/2

Answer : B

Question 39. cos^-1 (−1/2) + 2sin^-1 (−1/2)

(a) π/3

(b) 2π/3

(c) 3π/4

(d) 5π/8

Answer : A

Question 34. cosec^-1(2)

(a) π/6

(b) 2π/3

(c) 5π/6

(d) 0

Answer : A

Question 17. Which of the following is the principal value branch of cosec^-1 x?

(a) (−π/2, π/2)

(b) (0, π) – {π/2}

(c) [−π/2, π/2]

(d) [−π/2, π/2] – [0]

Answer : D

Question 32. cot^-1(1)

(a) π/3

(b) π/4

(c) π/2

(d) 0

Answer : B

Question 29. sec^-1(−2/√3)

(a) π/6

(b) π/3

(c) 5π/6

(d) –2π/3

Answer : C

Question 35. sec^-1(2)

(a) π/6

(b) π/3

(c) 2π/3

(d) 5π/6

Answer : B

Question 33. cos^-1 (√3/2)

(a) 5π/6

(b) π/6

(c) 4π/9

(d) 2π/3

Answer : A

Question :  If sin {sin^-1 1/2) + cos^-1 x} =1 ,then the value of x is

a) 1/2

b) 0

c) 1

d) None of these

Answer : A

Question 27. The value of sin [cos^-1(7/25)] is

(a) 25/24 

(b) 25/7

(c) 24/25

(d) 7/24

Answer : C

Question 16. Which of the following is the principal value branch of cos^-1 x?

(a) [−π/2, π/2]

(b) (0, π)

(c) [0, π]

(d) (0, π) – {π/2}

Answer : C

Question 19. The value of cos^-1[cos(33π/5)] is

(a) 3π/5

(b) −3π/5

(c) π/10

(d) –π/10

Answer : A

Question 36. tan^-1(√3)

(a) π/6

(b) π/3

(c) 2π/3

(d) 5π/6

Answer : B