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

The range of the principle cot function is

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

The range of the principal sine function is

• 
  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 =

• tan^-1 x A
• Cosec ^-1 x B
• Cosec x C
• cosec^-1(1/x) D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  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

• 20 A
• 10 B
• 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• -1 B
• 0 C
• None of these D

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

• π A
• -π B
• π/2 C
• π/3 D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The domain of the principle sine function is

• 
  A
• 
  B
• 
  C
• 
  D

tan^-1x > cot^-1x holds for

• x > 1 A
• x < 1 B
• x = 1 C
• All values of x D

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

• 0 A
• 2 B
• ∞ C
• 1/2 D

The range of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  D