Trigonometry - One Mark Questions

10th Standard EM

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Maths

Time : 00:30:00 Hrs
Total Marks : 10
    10 x 1 = 10
  1. The value of is \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) 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 (a2-1) 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)

    a2-b2

    (b)

    b2-a2

    (c)

    a2+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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