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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

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

• √2 A
• 1/2 B
• undefine C
• 0 D

• π / 3 A
• π / 4 B
• π / 2 C
• π 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

The range of the principal sine function is

• 
  A
• 
  B
• 
  C
• 
  D

tan(cot^-1x) is equal to

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

• π A
• π / 2 B
• π / 3 C
• π / 4 D

• 
  A
• 
  B
• 
  C
• 
  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

• 1/3 A
• 1 B
• 3 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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 7 B
• 4 C
• None of these 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

sn (2sin-10.8)

• 0.56 A
• 0.69 B
• -0.16 C
• 0.96 D

• π/ 2 A
• π/ 3 B
• π/ 4 C
• π D

• 1 A
• 0 B
• 3 C
• -3 D

• 
  A
• 
  B
• 
  C
• 
  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

The principal value of sin^-1[-√(√3) /2] is

• 5π/3 A
• -2π/3 B
• -π/3
  C
• π/3 D

The domain of the principal tan function is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D