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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 2 B
• ∞ C
• 1/2 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The range of the principle cot function is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 1 A
• 0 B
• 3 C
• -3 D

Sec^-1x =

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

• 
  A
• 
  B
• 
  C
• 
  D

Cos (cos4π/3)=

• π/2 A
• π/3 B
• 2π/3 C
• -π/3 D

• 
  A
• 
  B
• 
  C
• 
  D

sin -1(sin2π/3) =

• π/2 A
• 2π/3 B
• -3π/2 C
• π/3 D

The value of sin [ arc cos (-1/2)] is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  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

• 20 A
• 10 B
• 0 C
• None of these D

• π/ 2 A
• π/ 3 B
• π/ 4 C
• π 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

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

Tan^-11/x = ______

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