ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 15 (Inverse Trigonometric Functions)

tan(cot^-1x) is equal to

• cot(tan^-1x) A
• tan x B
• secon x C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Cos-1(x)=

• cos x A
• x B
• tan-1(-x) C
• Sec-1 (1/x) D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

The range of the principle cot function is

• 
  A
• 
  B
• 
  C
• 
  D

The domain of the principal tan function is

• 
  A
• 
  B
• 
  C
• 
  D

The range of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  D

Sec^-1x =

• Cos^-11/x A
• cosec^-11/x B
• Cos^-1(-x) C
• Tan^-1x D

The exact degree value of the function sin-1( -√3/2) is

• 70^ο A
• 50^ο B
• 90^ο C
• 60^ο D

The value of sin-1 24/25 is equal to

• csc-1 25/24 A
• sec-1 24/25 B
• 2 tan-1 4/5 C
• 2cos-1 24/25 D

• 0 A
• -1 B
• 1/2 C
• 1 D

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

• π/3 A
• π/4 B
• 3π/2 C
• π/6 D

If cos^-1p + cos^-1q + cos^-1r =πthen p²+ q²+ r²+ 2pqr is equal to

• 3 A
• 1 B
• 2 C
• -1 D

tan^-1(1/4) + tan^-1(2/9) is equal to

• 1/2 cos^-1(3/5) A
• 1/2 sin^-1(3/5) B
• 1/2 tan^-1(3/5) C
• tan^-11/2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Cos (cos4π/3)=

• π/2 A
• π/3 B
• 2π/3 C
• -π/3 D

• 
  A
• 
  B
• 
  C
• 
  D

The exact value of cos-1 (0) is

• π/2 A
• -π/2 B
• 3π C
• π-π/6 D

• 
  A
• 
  B
• 
  C
• 
  D

The principal value of sin-1√(3/2) is

• -π/3 A
• π/3 B
• 2π/3 C
• π/2 D

cos^-1(cos x) =

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

Tan^-11/x = ______

• sin x A
• sec^-1X B
• cot^-1X C
• None of these 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

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

• 0 A
• 2 B
• 1 C
• Infinite D