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

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

• 0 A
• 1 B
• -1 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

The exact degree value of the function sin-1( -√3/2) is

• 70^ο A
• 50^ο B
• 90^ο C
• 60^ο D

• 
  A
• 
  B
• 
  C
• 
  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

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

• π/2

  A

• -π/2

  B

• π

  C

• -π

  D

• 
  A
• 
  B
• 
  C
• 
  D

Ifπ≤x≤2π, then cos-1 (cos x)=

• cos x A
• -x B
• 1/x C
• -x D

Cos (cos4π/3)=

• π/2 A
• π/3 B
• 2π/3 C
• -π/3 D

sn (2sin-10.8)

• 0.56 A
• 0.69 B
• -0.16 C
• 0.96 D

The range of the principle cos function is

• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 7 B
• 4 C
• None of these D

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

• 3 A
• 1 B
• 2 C
• -1 D

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

• π A
• -π B
• π/2 C
• π/3 D

• 2 A
• 5 B
• 7 C
• None of these D

sin -1(sin2π/3) =

• π/2 A
• 2π/3 B
• -3π/2 C
• π/3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The principal value of sin^-1[-√(√3) /2] is

• 5π/3 A
• -2π/3 B
• -π/3
  C
• π/3 D

• 16 / 7 A
• 6 / 17 B
• 7 / 16 C
• None of these D

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

• π/3 A
• π/4 B
• 3π/2 C
• π/6 D