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

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

• 5π/3 A
• -2π/3 B
• -π/3
  C
• π/3 D

Sin-1(-x)=

• x A
• -x B
• -sin-1 x C
• cos-1 x 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

sn (2sin-10.8)

• 0.56 A
• 0.69 B
• -0.16 C
• 0.96 D

Sec^-1x =

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

tan^-1(1/4) + tan^-1(2/9) is equal to

• 1/2 cos^-1(3/5) A
• 1/2 sin^-1(3/5) B
• 1/2 tan^-1(3/5) C
• tan^-11/2 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• π/2

  A

• -π/2

  B

• π

  C

• -π

  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The domain of the principle sine function is

• 
  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

If tan^-13 + tan^-1x = tan^-18, then x=

• 5 A
• 1/5 B
• 5/14 C
• 14/5 D

Tan^-11/x = ______

• sin x A
• sec^-1X B
• cot^-1X C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

• π/ 4 A
• π/ 6 B
• π/ 3 C
• 2π/ 3 D

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

• √2 A
• 1/2 B
• undefine C
• 0 D

Cos (cos4π/3)=

• π/2 A
• π/3 B
• 2π/3 C
• -π/3 D

• 1/3 A
• 1 B
• 3 C
• None of these D

• 16 / 7 A
• 6 / 17 B
• 7 / 16 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

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

• 
  A
• 
  B
• 
  C
• 
  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