• 1. 
    The value of cos² x + cos² y – 2cos x × cos y × cos (x + y) is

  • sin (x + y)
  • sin² (x + y)
  • sin³ (x + y)
  • sin4 (x + y)
  • 2. 
    If cos a + 2cos b + cos c = 2 then a, b, c are in

  • a² + b² + c²
  • a² – b² – c²
  • a² – b² + c²
  • a² + b² – c²
  • 3. 
    If the angles of a triangle be in the ratio 1 : 4 : 5, then the ratio of the greatest side to the smallest side is

  • 4 : (√5 – 1)
  • 5 : 4
  • (√5 – 1) : 4
  • none of these
  • 4. 
    If a×cos x + b × cos x = c, then the value of (a × sin x – b²cos x)² is

  • a² + b² + c²
  • a² – b² – c²
  • a² – b² + c²
  • a² + b² – c²
  • 5. 
    The value of cos 5π is

  • 0
  • 1
  • -1
  • None of these
  • 6. 
    In a triangle ABC, cosec A (sin B cos C + cos B sin C) equals

  • none of these
  • c/a
  • 1
  • a/c
  • 7. 
    The value of cos 180° is

  • 0
  • 1
  • -1
  • infinite
  • 8. 
    The perimeter of a triangle ABC is 6 times the arithmetic mean of the sines of its angles. If the side b is 2, then the angle B is

  • 30°
  • 90°
  • 60°
  • 120°
  • 9. 
    If 3 × tan(x – 15) = tan(x + 15), then the value of x is

  • 30
  • 45
  • 60
  • 90
  • 10. 
    If the sides of a triangle are 13, 7, 8 the greatest angle of the triangle is

  • π/3
  • π/2
  • 2π/3

  • 3π/2
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