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

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

• 0 A
• 2 B
• 1 C
• Infinite D

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

• 5π/3 A
• -2π/3 B
• -π/3
  C
• π/3 D

The Principal value of sin-1 (-1/1/2)

• π/2

  A

• -π/2

  B

• π

  C

• -π

  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• √2 A
• 1/2 B
• undefine C
• 0 D

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

• 
  A
• 
  B
• 
  C
• 
  D

The domain of the principal tan function is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• π A
• π / 2 B
• π / 3 C
• π / 4 D

• 16 / 7 A
• 6 / 17 B
• 7 / 16 C
• None of these 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

• 1 A
• 0 B
• 3 C
• -3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1/3 A
• 1 B
• 3 C
• None of these D

• 20 A
• 10 B
• 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Cos-1(x)=

• cos x A
• x B
• tan-1(-x) C
• Sec-1 (1/x) D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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