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

The domain of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If tan^-13 + tan^-1x = tan^-18, then x=

• 5 A
• 1/5 B
• 5/14 C
• 14/5 D

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

• 5π/3 A
• -2π/3 B
• -π/3
  C
• π/3 D

• π / 4 A
• π / 6 B
• π / 3 C
• 0 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

The range of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  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

• 0 A
• 1 B
• -1 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

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

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

• π/3 A
• π/4 B
• 3π/2 C
• π/6 D

• 1 A
• 0 B
• 3 C
• -3 D

tan(cot^-1x) is equal to

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

• 1 A
• 7 B
• 4 C
• None of these D

The range of the principal sine function is

• 
  A
• 
  B
• 
  C
• 
  D

The range of the principle cot function is

• 
  A
• 
  B
• 
  C
• 
  D

Tan^-11/x = ______

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

• 2 A
• 5 B
• 7 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• π/ 2 A
• π/ 3 B
• π/ 4 C
• π D

• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The principal value of sin^-1 (-1/2)

• π/3 A
• π/4 B
• π/6 C
• -π/6 D