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

• 
  A
• 
  B
• 
  C
• 
  D

Sec^-1x =

• Cos^-11/x A
• cosec^-11/x B
• Cos^-1(-x) C
• Tan^-1x D

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

• 5π/3 A
• -2π/3 B
• -π/3
  C
• π/3 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

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

If cos (2 sin-1 x) = 1/9 , then what is the value of x?

• 1/3 A
• -2/3 B
• 2/3 C
• 2/3 , -2/3 D

• 2 A
• 5 B
• 7 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The principal value of sin-1√(3/2) is

• -π/3 A
• π/3 B
• 2π/3 C
• π/2 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

Sin-1(-x)=

• x A
• -x B
• -sin-1 x C
• cos-1 x D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• π / 3 A
• π / 4 B
• π / 2 C
• π D

• 1 A
• 0 B
• 3 C
• -3 D

• π/ 4 A
• π/ 6 B
• π/ 3 C
• 2π/ 3 D

• 20 A
• 10 B
• 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Cos (cos4π/3)=

• π/2 A
• π/3 B
• 2π/3 C
• -π/3 D

• 
  A
• 
  B
• 
  C
• 
  D

The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

• [0, 1] A
• [-1, 1] B
• [1, 3] C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

Sin^-1(-x)=

• Cos^-11/x A
• - Sin^-1X B
• Cot^-1X C
• None of these 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