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

• 0 A
• 1 B
• -1 C
• None of these D

Ifπ≤x≤2π, then cos-1 (cos x)=

• cos x A
• -x B
• 1/x C
• -x D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• π/2

  A

• -π/2

  B

• π

  C

• -π

  D

• 1 A
• -1 B
• 0 C
• None of these D

• π A
• π / 2 B
• π / 3 C
• π / 4 D

• 
  A
• 
  B
• 
  C
• 
  D

If tan^-13 + tan^-1x = tan^-18, then x=

• 5 A
• 1/5 B
• 5/14 C
• 14/5 D

If cos (2 sin-1 x) = 1/9 , then what is the value of x?

• 1/3 A
• -2/3 B
• 2/3 C
• 2/3 , -2/3 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

The domain of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  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

The range of the principal sine function is

• 
  A
• 
  B
• 
  C
• 
  D

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

The exact value of cos-1 (0) is

• π/2 A
• -π/2 B
• 3π C
• π-π/6 D

tan(cot^-1x) is equal to

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

Cos-1(x)=

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

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

• 1/2 A
• √3/2 B
• -1/2 C
• 1/√2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 7 B
• 4 C
• None of these D

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

• √2 A
• 1/2 B
• undefine C
• 0 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

sin -1(sin2π/3) =

• π/2 A
• 2π/3 B
• -3π/2 C
• π/3 D