CBSE  /  Class 10  /  Maths  /  Introduction to Trigonometry

  • 1. 
    \(\frac{1+tan^2 A}{1+cot^2 A}\) is equal to

  • sec² A
  • -1
  • cot² A
  • tan² A

  • 2. 
    If cos A + cos² A = 1, then sin² A + sin4 A is equal to

  • -1
  • 0
  • 1
  • None of these

  • 3. 
    If sin θ + sin² θ = 1 then cos² θ + cos4 θ is equal

  • -1
  • 1
  • 0
  • None of these

  • 4. 
    2(sin6 θ + cos6 θ) - 3(sin4 θ + cos4 θ) is equal to

  • 0
  • 6
  • -1
  • None of these

  • 5. 
    If cos (81 + θ)° = sin(\(\frac{k}{3}\) - θ)° where θ is an acute angle, then the value of k is

  • 18°
  • 27°
  • 9°
  • 81°

  • 6. 
    3 sin² 20° - 2 tan² 45° + 3 sin² 70° is equal to

  • 0
  • 1
  • 2
  • -1

  • 7. 
    If sin 2A = \(\frac{1}{2}\) tan² 45° where A is an acute angle, then the value of A is

  • 60°
  • 45°
  • 30°
  • 15°

  • 8. 
    \(\frac{sin θ}{1 + cos θ}\) is

  • \(\frac{cos θ}{1 - sin θ}\)
  • \(\frac{1 - sin θ}{sin θ}\)
  • \(\frac{1 - sin θ}{cos θ}\)
  • \(\frac{1 - cos θ}{sin θ}\)

  • 9. 
    If x sin (90° - θ) cot (90° - θ) = cos (90° - θ), then x is equal to

  • 0
  • 1
  • -1
  • 2

  • 10. 
    If A + B = 90°, cot B = \(\frac{3}{4}\) then tan A is equal to:

  • \(\frac{5}{3}\)
  • \(\frac{1}{3}\)
  • \(\frac{3}{4}\)
  • \(\frac{1}{4}\)
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