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

• π/ 4 A
• π/ 6 B
• π/ 3 C
• 2π/ 3 D

tan(cot^-1x) is equal to

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

The range of the principle cot function is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 5 A
• 1/5 B
• 5/14 C
• 14/5 D

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

The value of sin-1 24/25 is equal to

• csc-1 25/24 A
• sec-1 24/25 B
• 2 tan-1 4/5 C
• 2cos-1 24/25 D

If cos^-1p + cos^-1q + cos^-1r =πthen p²+ q²+ r²+ 2pqr is equal to

• 3 A
• 1 B
• 2 C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

• 1 A
• -1 B
• 0 C
• None of these D

x = sin^-1 3, then the value of sin x is

• √(3/2) A
• 3 B
• Not possible C
• -1 D

The range of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

sin^-1 x =

• tan^-1 x A
• Cosec ^-1 x B
• Cosec x C
• cosec^-1(1/x) D

• 20 A
• 10 B
• 0 C
• None of these 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

• π/ 2 A
• π/ 3 B
• π/ 4 C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

The domain of the principle sine function is

• 
  A
• 
  B
• 
  C
• 
  D

sn (2sin-10.8)

• 0.56 A
• 0.69 B
• -0.16 C
• 0.96 D

Cos (cos4π/3)=

• π/2 A
• π/3 B
• 2π/3 C
• -π/3 D

• 
  A
• 
  B
• 
  C
• 
  D

The range of the principal sine function is

• 
  A
• 
  B
• 
  C
• 
  D

Cos-1(x)=

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