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

• π / 3 A
• π / 4 B
• π / 2 C
• π D

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

• 2 A
• 5 B
• 7 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Ifπ≤x≤2π, then cos-1 (cos x)=

• cos x A
• -x B
• 1/x C
• -x D

• π / 4 A
• π / 6 B
• π / 3 C
• 0 D

• 0 A
• -1 B
• 1/2 C
• 1 D

Cos-1 (-x) =

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

cos^-1(cos x) =

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

• 
  A
• 
  B
• 
  C
• 
  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

• 20 A
• 10 B
• 0 C
• None of these D

• 1 A
• 0 B
• 3 C
• -3 D

The domain of the principle sine function is

• 
  A
• 
  B
• 
  C
• 
  D

• π / 3 A
• π / 4 B
• π / 6 C
• 0 D

The domain of the principle cos 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

• 
  A
• 
  B
• 
  C
• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• √2 A
• 1/2 B
• undefine C
• 0 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

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

• 1/2 A
• √3/2 B
• -1/2 C
• 1/√2 D

The range of the principal sine function is

• 
  A
• 
  B
• 
  C
• 
  D

• π A
• π / 2 B
• π / 3 C
• π / 4 D