CBSE  /  Class 11  /  Maths  /  Trigonometric Functions

  • 1. 
    The value of tan 20 × tan 40 × tan 80 is

  • tan 30
  • tan 60
  • 2 tan 30
  • 2 tan 60

  • 2. 
    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

  • 3. 
    The general solution of √3 cos x – sin x = 1 is

  • x = n × π + (-1)n × (π/6)
  • x = π/3 – n × π + (-1)n × (π/6)
  • x = π/3 + n × π + (-1)n × (π/6)
  • x = π/3 – n × π + (π/6)

  • 4. 
    If tan² θ = 1 – e², then the value of sec θ + tan³ θ × cosec θ is

  • 2 – e²
  • (2 – e²)1/2
  • (2 – e²)²
  • (2 – e²)3/2

  • 5. 
    The value of cos 20 + 2sin² 55 – √2 sin65 is

  • 0
  • 1
  • -1
  • None of these

  • 6. 
    If the radius of the circumcircle of an isosceles triangle PQR is equal to PQ ( = PR), then the angle P is

  • 2π/3
  • π/3
  • π/2
  • π/6

  • 7. 
    If cos a + 2cos b + cos c = 2 then a, b, c are in

  • 2b = a + c
  • b² = a × c
  • a = b = c
  • None of these

  • 8. 
    The value of 4 × sin x × sin(x + π/3) × sin(x + 2π/3) is

  • sin x
  • sin 2x
  • sin 3x
  • sin 4x

  • 9. 
    If tan A – tan B = x and cot B – cot A = y, then the value of cot (A – B) is

  • x + y
  • 1/x + y
  • x + 1/y
  • 1/x + 1/y

  • 10. 
    If tan A – tan B = x and cot B – cot A = y, then the value of cot (A – B) is

  • tan 6x
  • 2 tan 6x
  • 3 tan 6x
  • 4 tan 6x
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