Trigonometry Model Question Paper

9th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

Time : 01:00:00 Hrs
Total Marks : 50
    5 x 1 = 5
  1. If tan\(\theta\) cot370 , then the value of \(\theta\) is

    (a)

    370

    (b)

    530

    (c)

    900

    (d)

    10

  2. If 2sin 2\(\theta\) = \(\sqrt { 3 } \) , them the value of \(\theta\) is

    (a)

    900

    (b)

    300

    (c)

    450

    (d)

    600

  3. The value of 2tan30° tan60° is

    (a)

    1

    (b)

    2

    (c)

    \(2\sqrt { 3 } \)

    (d)

    6

  4. The value of cosec(700 + \(\theta\)) - sec(200 - \(\theta\)) + tan(650 + \(\theta\)) - cot(250 - \(\theta\)) is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    3

  5. The value of \(\frac { sin{ 29 }^{ 0 }31' }{ cos{ 60 }^{ 0 }29' } \) is

    (a)

    0

    (b)

    2

    (c)

    1

    (d)

    -1

  6. 7 x 2 = 14
  7. From the given figure find all the trigonometric ratios of angle B.

  8. If 2cos \(\theta\) = \(\sqrt { 3 } \), then find all the trigonometric ratios of angle \(\theta\)

  9. Find the six trigo'nometric ratios of the angle 0 using the diagram

  10. If 3 cot\(\theta\) =, then find the value of  \(\cfrac { 3cos\theta -4sin\theta }{ 5sin\theta +4cos\theta } \)

  11. If sin\(\theta\) = \(\cfrac { a }{ \sqrt { \left( { a }^{ 2 }+{ b }^{ 2 }+{ c }^{ 2 }+2bc \right) } } \) ,then show that (b + c) sin \(\theta\) = (a) cos \(\theta\)

  12. Find the value of sin 3x. sin 6x. sin 9x when x = 10°

  13. Given that \(sin\alpha =\cfrac { 1 }{ \sqrt { 2 } } \) and \(tan\beta =\sqrt { 3 } \) Find the value of \(\alpha +\beta \)

  14. 7 x 3 = 21
  15. If tan A  = \(\frac { 2 }{ 3 } \) , then find all the other trigonometric ratios.

  16. If sec \(\theta\) = \(\frac { 13 }{ 5 } \), then show that \(\frac { 2sin\theta -3cos\theta }{ 4sin\theta -9cos\theta } \) = 3

  17. Evaluate: (i) \(\frac { sin49° }{ cos41° } \) (ii) \(\frac { sec63° }{ cosec27° } \)

  18. i) If cosecA = sec340, find A (ii) If tanB = cot 470, find B.

  19. Find the value of cos19059'

  20. Find the value of tan70013'

  21. Find the value of (i) sin38036' + tan12012' (ii) tan60025' - cos 49020'

  22. 2 x 5 = 10
  23. Find the values of the following:
    (i) (cos00 + sin450 + sin300)(sin900 - cos450 + cos600)
    (ii) tan2600 - 2tan2450 - cot2300 +2sin2300\(\frac { 3 }{ 4 } \) cosec2 450

  24. Find the value of \(\theta\) if
    (i) sin \(\theta\) = 0.9858
    (ii)tan \(\theta\) = 0.5902
    (iii)cos\(\theta\) = 07656

*****************************************

Reviews & Comments about 9th Maths - Trigonometry Model Question Paper

Write your Comment