Trigonometry - One Mark Questions

10th Standard

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Maths

Time : 00:30:00 Hrs
Total Marks : 10
    10 x 1 = 10
  1. The value of \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) is equal to

    (a)

     \(ta{ n }^{ 2 }\theta \)

    (b)

    1

    (c)

    \(cot^{ 2 }\theta \)

    (d)

    0

  2. If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a- 1) is equal to 

    (a)

    2a

    (b)

    3a

    (c)

    0

    (d)

    2ab

  3. (1 + tan \(\theta \) + sec\(\theta \)) (1 + cot\(\theta \) - cosec\(\theta \)) is equal to 

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    -1

  4. a cot \(\theta \) + b cosec\(\theta \) = p and b cot \(\theta \) + a cosec\(\theta \) = q then p2- qis equal to 

    (a)

    a- b2

    (b)

    b- a2

    (c)

    a+ b2

    (d)

    b - a

  5. If sin A = \(\frac{1}{2}\), then the value of cot A is ___________

    (a)

    \(\sqrt{3}\)

    (b)

    \(\frac{1}{\sqrt{3}}\)

    (c)

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

    (d)

    1

  6. Given that sinθ = \(\frac{a}{b}\), then cosθ is equal to ___________

    (a)

    \(\frac { b }{ \sqrt { { b }^{ 2 }-{ a }^{ 2 } } } \)

    (b)

    \(\frac { b }{ a } \)

    (c)

    \(\frac { \sqrt { { b }^{ 2 }-{ a }^{ 2 } } }{ b } \)

    (d)

    \(\frac { b }{ \sqrt { { b }^{ 2 }-{ a }^{ 2 } } } \)

  7. If cos (∝ - β) =, then sin (∝ - β)  can be reduced to ___________

    (a)

    cos β

    (b)

    cos 2β

    (c)

    sin ∝

    (d)

    sin 2∝

  8. The value of (tan1o tan2o tan3o..... tan89o) is ___________

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

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

  9. If cos9∝ = sin∝ and 9∝ < 90o, then the value of tan t∝ is

    (a)

    \(\frac{1}{\sqrt{3}}\)

    (b)

    \({\sqrt{3}}\)

    (c)

    1

    (d)

    0

  10. If ∆ABC is right angled at C, then the value of cos (A + B) is ___________

    (a)

    0

    (b)

    1

    (c)

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

    (d)

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

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