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

In the interval 0≤ x ≤ π, the sine is

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

Cos-1 (-x) =

• -x A
• 1/x B
• tan-1 x C
• π-cos-1 x D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• π / 4 A
• π / 6 B
• π / 3 C
• 0 D

• 20 A
• 10 B
• 0 C
• None of these D

• π / 3 A
• π / 4 B
• π / 2 C
• π D

Sin-1(-x)=

• x A
• -x B
• -sin-1 x C
• cos-1 x D

• 
  A
• 
  B
• 
  C
• 
  D

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

• π/3 A
• π/4 B
• 3π/2 C
• π/6 D

• 
  A
• 
  B
• 
  C
• 
  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

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

The value of sin^-1 5/13 is equal to

• Cos 5/13 A
• Tan^-1 5/12 B
• cos^-15/12 C
• 2 cos^-1 4/5 D

tan(cot^-1x) is equal to

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

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

• √2 A
• 1/2 B
• undefine C
• 0 D

sn (2sin-10.8)

• 0.56 A
• 0.69 B
• -0.16 C
• 0.96 D

• 
  A
• 
  B
• 
  C
• 
  D

The domain of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Cos^-1 12/13 =

• tan^-1 3/5 A
• cot^-1 13/12 B
• Sec^-1 13/12 C
• sin^-1 5/13 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• π A
• π / 2 B
• π / 3 C
• π / 4 D

• 
  A
• 
  B
• 
  C
• 
  D

Ifπ≤x≤2π, then cos-1 (cos x)=

• cos x A
• -x B
• 1/x C
• -x D

• 
  A
• 
  B
• 
  C
• 
  D

• π/ 2 A
• π/ 3 B
• π/ 4 C
• π D