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

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

• π/2

  A

• -π/2

  B

• π

  C

• -π

  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• -1 B
• 1/2 C
• 1 D

• π / 3 A
• π / 4 B
• π / 2 C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

sn (2sin-10.8)

• 0.56 A
• 0.69 B
• -0.16 C
• 0.96 D

• 1/3 A
• 1 B
• 3 C
• None of these D

• 
  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

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

The exact value of cos^-1 (-1) + cos ^-1 (1) =

• π A
• -π B
• π/2 C
• π/3 D

• 
  A
• 
  B
• 
  C
• 
  D

Sin^-1(-x)=

• Cos^-11/x A
• - Sin^-1X B
• Cot^-1X C
• None of these D

• π A
• π / 2 B
• π / 3 C
• π / 4 D

• 0 A
• 1 B
• -1 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

• π / 3 A
• π / 4 B
• π / 6 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

The domain of the principal tan function is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• -1 B
• 0 C
• None of these 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

• 
  A
• 
  B
• 
  C
• 
  D

tan(cot^-1x) is equal to

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