ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 15

• π / 3 A
• π / 4 B
• π / 6 C
• 0 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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• -1 B
• 0 C
• None of these D

The range of the principle cot function is

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  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

• π/ 4 A
• π/ 6 B
• π/ 3 C
• 2π/ 3 D

Ifπ≤x≤2π, then cos-1 (cos x)=

• cos x A
• -x B
• 1/x C
• -x D

• 
  A
• 
  B
• 
  C
• 
  D

The range of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

sin (sin^-1(1/2))=

• 0 A
• 2 B
• ∞ C
• 1/2 D

• 0 A
• -1 B
• 1/2 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

cos^-1(cos x) =

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

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

• √2 A
• 1/2 B
• undefine C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 20 A
• 10 B
• 0 C
• None of these D

• π / 3 A
• π / 4 B
• π / 2 C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

• 1/3 A
• 1 B
• 3 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

The principal value of sin^-1 (-1/2)

• π/3 A
• π/4 B
• π/6 C
• -π/6 D

• 
  A
• 
  B
• 
  C
• 
  D