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

cos^-1(cos x) =

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

In the interval 0≤ x ≤ π, the sine is

• Not a function A
• Not defined B
• Infinity C
• Not one-to-one function D

sin -1(sin2π/3) =

• π/2 A
• 2π/3 B
• -3π/2 C
• π/3 D

• 
  A
• 
  B
• 
  C
• 
  D

Ifπ≤x≤2π, then cos-1 (cos x)=

• cos x A
• -x B
• 1/x C
• -x D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 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

• 
  A
• 
  B
• 
  C
• 
  D

The range of the principal sine function is

• 
  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

If 2 tan¹(cos x) = tan^-1(cosec²x), then x is equal to

• π/ 3 A
• π/ 2 B
• π/ 6 C
• π D

sin^-1 x =

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

Cos (cos4π/3)=

• π/2 A
• π/3 B
• 2π/3 C
• -π/3 D

Cos-1 (-x) =

• -x A
• 1/x B
• tan-1 x C
• π-cos-1 x D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Tan^-11/x = ______

• sin x A
• sec^-1X B
• cot^-1X C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 1/3 A
• 1 B
• 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

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

• 
  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

• 1 A
• 0 B
• 3 C
• -3 D

Cos-1(x)=

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

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

• 
  A
• 
  B
• 
  C
• 
  D