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

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

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

• 1/3 A
• 1 B
• 3 C
• None of these D

• 2 A
• 5 B
• 7 C
• None of these D

The range of the principal sine function is

• 
  A
• 
  B
• 
  C
• 
  D

• π / 3 A
• π / 4 B
• π / 2 C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Cos^-1 12/13 =

• tan^-1 3/5 A
• cot^-1 13/12 B
• Sec^-1 13/12 C
• sin^-1 5/13 D

• 
  A
• 
  B
• 
  C
• 
  D

The range of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Sin^-1(-x)=

• Cos^-11/x A
• - Sin^-1X B
• Cot^-1X 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

cos^-1(cos x) =

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

• 1 A
• 7 B
• 4 C
• None of these 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

• 0 A
• -1 B
• 1/2 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• π/ 2 A
• π/ 3 B
• π/ 4 C
• π 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

• 1 A
• -1 B
• 0 C
• None of these 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

• 5π/3 A
• -2π/3 B
• -π/3
  C
• π/3 D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D