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

• 
  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

The number of triplets (x, y, z) satisfying sin^-1x +cos^-1y + sin^-1z = 2π is

• 0 A
• 2 B
• 1 C
• Infinite D

• 
  A
• 
  B
• 
  C
• 
  D

Sin-1(-x)=

• x A
• -x B
• -sin-1 x C
• cos-1 x D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• -1 B
• 1/2 C
• 1 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 exact degree value of the function sin-1( -√3/2) is

• 70^ο A
• 50^ο B
• 90^ο C
• 60^ο D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• None of these D

sn (2sin-10.8)

• 0.56 A
• 0.69 B
• -0.16 C
• 0.96 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

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

• π/ 4 A
• π/ 6 B
• π/ 3 C
• 2π/ 3 D

The domain of the principle sine function is

• 
  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

• 1 A
• 0 B
• 3 C
• -3 D

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

• 5 A
• 1/5 B
• 5/14 C
• 14/5 D

• π A
• π / 2 B
• π / 3 C
• π / 4 D

• 20 A
• 10 B
• 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The value of cos(cos-1 1/2) is

• 1/2 A
• √3/2 B
• -1/2 C
• 1/√2 D