First Year Mathematics Chapter 10 Online MCQ Test for 1st Year Mathematics Chapter 10 (Trigonometric Identities Sum and Difference of Angles)

• 
  A
• 
  B
• 
  C
• 
  D

The distance between the points P(x1, y1) and Q(x2, y2) is:

• 
  A
• 
  B
• 
  C
• 
  D

sin5Θ + sin3Θ is equal to:

• 2cos 2Θ sin Θ A
• -2 cos 4Θ sin Θ B
• -2 sin 4Θ cos Θ C
• 2 sin 4Θ cos Θ D

The angles 90°±Θ, 180°±Θ, 270°±Θ, 360°±Θ, are the:

• composite angles A
• half angles B
• quadrantal angles C
• allied angles D

• 
  A
• 
  B
• 
  C
• 
  D

sin (α + ß) =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

csc (2π - Θ), where Θ is a basic angle, will have terminal side in:

• quad. I A
• quad. II B
• quad. III C
• quad. IV D

• quad. I A
• quad. II B
• quad. III C
• quad. IV D

cos (α-ß) =

• cos α cos ß + sin α sin ß A
• cos α cos ß - sin α sin ß B
• cos α cos ß + sin α cos ß C
• sin α cos ß - sin α sin ß D

If an angle α is allied to an angle ß, then α ± ß = __________:

• 90° A
• multiple of 90° B
• 180° C
• multiple of 180° D

If sin α = cos ß in any triangle ABC then:

• α + ß = 90° A
• α + ß = 180° B
• α + ß = 360° C
• α + ß D

sin (α - ß) =

• 
  A
• 
  B
• 
  C
• 
  D

• quad I A
• quad. II B
• quad. III C
• quad. IV D

2 cos α sin ß =

• cos (α + ß) + cos (α - ß) A
• sin (α + ß) + sin (α - ß) B
• sin (α + ß) - sin (α - ß) C
• cos (α + ß) + cos (α - ß)
  D

tan (-135°) =

• 0 A
• 1 B
• 
  C
• √2 D

2 sin 12° sin 46° =

• cos 34° + cos 58° A
• sin 34° - sin 58° B
• sin 34° + sin 58° C
• cos 34° - cos 58° D

tan (α - ß ) =

• 
  A
• 
  B
• 
  C
• 
  D

• 1 + cos Θ A
• 1 - cos Θ B
• 
  C
• 
  D