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

• 1/3 A
• 1 B
• 3 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

• 0 A
• -1 B
• 1/2 C
• 1 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

cos^-1(cos x) =

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

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

• 5π/3 A
• -2π/3 B
• -π/3
  C
• π/3 D

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

• π A
• -π B
• π/2 C
• π/3 D

The domain of the principle sine function is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

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

The value of sin^-1 5/13 is equal to

• Cos 5/13 A
• Tan^-1 5/12 B
• cos^-15/12 C
• 2 cos^-1 4/5 D

Cos-1 (-x) =

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

The principal value of sin-1√(3/2) is

• -π/3 A
• π/3 B
• 2π/3 C
• π/2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 5 B
• 7 C
• None of these D

sin^-1 x =

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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 principal value of sin^-1 (-1/2)

• π/3 A
• π/4 B
• π/6 C
• -π/6 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Cos-1(x)=

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

• 
  A
• 
  B
• 
  C
• 
  D

The value of sin [ arc cos (-1/2)] is

• 
  A
• 
  B
• 
  C
• 
  D

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