ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 15

The number of triplets (x, y, z) satisfying sin^-1x +cos^-1y + sin^-1z = 2π is

• 0 A
• 2 B
• 1 C
• Infinite D

• 
  A
• 
  B
• 
  C
• 
  D

cos^-1(cos x) =

• x A
• cos x B
• x = 1/x C
• cos^-2 x D

sin (sin^-1(1/2))=

• 0 A
• 2 B
• ∞ C
• 1/2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 5 B
• 7 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The exact value of cos^-1 (-1) + cos ^-1 (1) =

• π A
• -π B
• π/2 C
• π/3 D

The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

• [0, 1] A
• [-1, 1] B
• [1, 3] C
• None of these D

• π A
• π / 2 B
• π / 3 C
• π / 4 D

If 2 tan¹(cos x) = tan^-1(cosec²x), then x is equal to

• π/ 3 A
• π/ 2 B
• π/ 6 C
• π D

Sin -1 x=

• sin(π/2-x) A
• Sin-1 (π/2-x) B
• π/2-cos-1x C
• π/2 + cos-1x D

• 16 / 7 A
• 6 / 17 B
• 7 / 16 C
• None of these D

In the interval 0≤ x ≤ π, the sine is

• Not a function A
• Not defined B
• Infinity C
• Not one-to-one function D

• 
  A
• 
  B
• 
  C
• 
  D

The Principal value of sin-1 (-1/1/2)

• π/2

  A

• -π/2

  B

• π

  C

• -π

  D

The range of the principal sine function is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

sin[cot^-1{cos(tan^-1x)}]=

• 
  A
• 
  B
• 
  C
• 
  D

The value of sin [ arc cos (-1/2)] is

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• -1 B
• 0 C
• None of these D

The range of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• -1 B
• 0 C
• None of these D