ECAT Pre Engineering MCQ Test With Answer for Chapter 15 Mathematics

• Cos 2x = sin 4y A
• Cos 4y = cos 2x B
• Cos 3y = sin 4x C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• π/2

  A

• -π/2

  B

• π

  C

• -π

  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

The range of the principle cot function is

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 1/3 A
• 1 B
• 3 C
• None of these D

x = sin^-1 3, then the value of sin x is

• √(3/2) A
• 3 B
• Not possible C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

• x = 3 A
• x = 1/5 B
• x = 0 C
• None of these D

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

• 0 A
• 2 B
• 1 C
• Infinite 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

• 
  A
• 
  B
• 
  C
• 
  D

What is the value of cos (cos-1 2) ?

• √2 A
• 1/2 B
• undefine C
• 0 D

sin^-1[-1/2] = ______

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 2 B
• ∞ C
• 1/2 D

The value of cos(cos-1 1/2) is

• 1/2 A
• √3/2 B
• -1/2 C
• 1/√2 D

The domain of the principle sine function is

• 
  A
• 
  B
• 
  C
• 
  D

Sin^-1(-x)=

• Cos^-11/x A
• - Sin^-1X B
• Cot^-1X C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• 3 C
• -3 D

• 1 A
• 7 B
• 4 C
• None of these D

• 1 A
• -1 B
• 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The principal value of sin^-1 (-1/2)

• π/3 A
• π/4 B
• π/6 C
• -π/6 D

• 
  A
• 
  B
• 
  C
• 
  D

• π/ 4 A
• π/ 6 B
• π/ 3 C
• 2π/ 3 D

• 
  A
• 
  B
• 
  C
• 
  D