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

Sin -1 x=

• sin(π/2-x) A
• Sin-1 (π/2-x) B
• π/2-cos-1x C
• π/2 + cos-1x D

• 20 A
• 10 B
• 0 C
• None of these D

• π / 3 A
• π / 4 B
• π / 2 C
• π D

Ifπ≤x≤2π, then cos-1 (cos x)=

• cos x A
• -x B
• 1/x C
• -x 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[-√(√3) /2] is

• 5π/3 A
• -2π/3 B
• -π/3
  C
• π/3 D

The range of the principle cot function is

• 
  A
• 
  B
• 
  C
• 
  D

Cos^-1 12/13 =

• tan^-1 3/5 A
• cot^-1 13/12 B
• Sec^-1 13/12 C
• sin^-1 5/13 D

The domain of the principal tan function is

• 
  A
• 
  B
• 
  C
• 
  D

• π / 3 A
• π / 4 B
• π / 6 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 2 B
• ∞ C
• 1/2 D

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

• 
  A
• 
  B
• 
  C
• 
  D

cos^-1(cos x) =

• x A
• cos x B
• x = 1/x C
• cos^-2 x D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• None of these D

• 2 A
• 5 B
• 7 C
• None of these D

The exact degree value of the function sin-1( -√3/2) is

• 70^ο A
• 50^ο B
• 90^ο C
• 60^ο D

The domain of the function y = sin x , is

• -π/2≤ x≤ π/2 A
• π/ ≤ x≤ π B
• -2π ≤ x≤ 2π C
• -1 ≤ x≤ 1 D

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

• π A
• π / 2 B
• π / 3 C
• π / 4 D