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11th Standard English Medium Maths Subject Trigonometry Book Back 1 Mark Questions with Solution Part - II

11th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 10

    1 Marks

    10 x 1 = 10
  1. If sin \(\theta\) + cos \(\theta\) = 1 then sin6 \(\theta\) + cos6 \(\theta\) is _______________

    (a)

    1

    (b)

    0

    (c)

    -1

    (d)

    2

  2. If the arcs of same lengths in two circles sustend central angles 30° and 40° find the ratio of their radii _______________

    (a)

    3 : 4

    (b)

    4 : 3

    (c)

    7 : 12

    (d)

    none of these

  3. If sin(45 ° + 10°) - sin(45° -10°) = \(\sqrt{2}\)sin x then x is ___________ 

    (a)

    0o

    (b)

    (c)

    10°

    (d)

    15°

  4. The quadratic equation whose roots are tan 75° and cot 75° is _______________

    (a)

    x2+4x+ 1 = 0

    (b)

    4x2-x+ 1 = 0

    (c)

    4x2+ 4x - 1 = 0

    (d)

    x2 - 4x + 1 = 0

  5. sin\((22{1\over 2}^o)\) is ____________ 

    (a)

    \({\sqrt{2-\sqrt{2}}}\over2\)

    (b)

    \({2\sqrt{2}-1\over 4\sqrt{2}}\)

    (c)

    \({\sqrt{2-\sqrt{2}\over 2}}\)

    (d)

    none of these

  6. The value of sin\({\pi\over 48}cos {\pi \over 48} cos {\pi \over 24}cos {\pi \over 12}cos{\pi \over 6}cos {\pi \over 3}\) is _____________ 

    (a)

    \(\sqrt{3}\over32\)

    (b)

    \(\sqrt{3}\over64\)

    (c)

    \({3}\over32\)

    (d)

    \({3}\over64\)

  7. In a \(\triangle\) ABC, C = 90° then the value of sin A + sin B - 2\(\sqrt{2} cos{A\over2}cos {B\over 2}is\) _______________

    (a)

    -1

    (b)

    1

    (c)

    0

    (d)

    \({1\over 2}\)

  8. The general solution of cosec\(\theta\) = -2 is _______________

    (a)

    \(2n\pi +(-1)^n({\pi\over 6})\)

    (b)

    \(n\pi +(-1)^n({-\pi\over 6})\)

    (c)

    \(2n\pi \pm({\pi\over 6})\)

    (d)

    \(-{\pi\over 6}+n\pi\)

  9. In a \(\triangle\)ABC, \(\hat{A}\) = 60°, \(\hat{C}\) = 30°, b = 2\(\sqrt{3}\) ,c = 2 then a is _______________

    (a)

    0

    (b)

    1

    (c)

    4

    (d)

    2

  10. In \(\triangle\)ABC, \(\hat{C}\) = 90° then a cos A + b cos B is _______________

    (a)

    2R sin B

    (b)

    2 sin B

    (c)

    0

    (d)

    2a sin B

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