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

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

• π / 3 A
• π / 4 B
• π / 2 C
• π D

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

• 
  A
• 
  B
• 
  C
• 
  D

The range of the principle cot function is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• π / 3 A
• π / 4 B
• π / 6 C
• 0 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

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

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

Ifπ≤x≤2π, then cos-1 (cos x)=

• cos x A
• -x B
• 1/x C
• -x D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• -1 B
• 0 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

• 20 A
• 10 B
• 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

If cos^-1p + cos^-1q + cos^-1r =πthen p²+ q²+ r²+ 2pqr is equal to

• 3 A
• 1 B
• 2 C
• -1 D

tan(cot^-1x) is equal to

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

• 0 A
• 1 B
• -1 C
• None of these 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

The exact value of cos-1 (0) is

• π/2 A
• -π/2 B
• 3π C
• π-π/6 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

In the interval 0≤ x ≤ π, the sine is

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

• 1/3 A
• 1 B
• 3 C
• None of these D

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