Term 3 Trigonometry Book Back Questions

9th Standard

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
    5 x 1 = 5
  1. if sin 300 = x and cos 600 = y, then x2  + y2 is

    (a)

    \(\frac { 1 }{ 2 } \)

    (b)

    0

    (c)

    sin90°

    (d)

    cos90°

  2. The value of 2tan30° tan60° is

    (a)

    1

    (b)

    2

    (c)

    \(2\sqrt { 3 } \)

    (d)

    6

  3. The value of tan1°.tan2°.tan3°...tan89° is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    \(\frac { \sqrt { 3 } }{ 2 } \)

  4. Given that sin \(\alpha\) = \(\frac { 1 }{ 2 } \) and cos \(\beta\) = \(\frac { 1 }{ 2 } \), then the value of \(\alpha\) + \(\beta\) is

    (a)

    00

    (b)

    900

    (c)

    300

    (d)

    600

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

    (a)

    0

    (b)

    2

    (c)

    1

    (d)

    -1

  6. 4 x 2 = 8
  7. If cos A = \(\frac { 2x }{ 1+{ x }^{ 2 } } \) then find the values of sinA and tanA in terms of x.

  8. If sin \(\theta\)  = \(\frac { a }{ \sqrt { { a }^{ 2 }+{ b }^{ 2 } } } \) then show that b sin \(\theta\) = a cos \(\theta\)

  9. If 3cot A = 2 , then find the value of = \(\frac { 4sinA-3cosA }{ 2sinA+3cosA } \)

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

  11. 4 x 3 = 12
  12. For the measures in the figure, compute sine, cosine and tangent ratios of the angle \(\theta \)
     

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

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

  15. Find the area of the right angled triangle with hypotenuse 5cm and one of the acute angle is 48030'

  16. 1 x 5 = 5
  17. Find the values of the following:
    (i) (cos00 + sin450 + sin300)(sin900 - cos450 + cos600)
    (ii) tan2600 - 2tan2450 - cot2300 +2sin2300\(\frac { 3 }{ 4 } \) cosec2 450

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