Trigonometry Practice Question and Answer

Q:

If  $$ {2\ sinθ-cos θ\over {cosθ+sinθ}}=1$$, then value of cotθ is:

1945 0

  • 1
    $$ {1\over2}$$
    Correct
    Wrong
  • 2
    $$ {1\over3}$$
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 1. "$$ {1\over2}$$"

Q:

What is the value of

1921 0

  • 1
    0
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    -1
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 2. "1"
Explanation :

undefined

Q:

Find the value of $$\left({sin 35°\over cos55°} \right)^2+\left({cos55°\over sin 35°} \right)^2 \ -2 sin^{3}30°$$

1896 0

  • 1
    $${7\over5}$$
    Correct
    Wrong
  • 2
    $${7\over4}$$
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    $${5\over7}$$
    Correct
    Wrong
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Answer : 2. "$${7\over4}$$"

Q: What is the value of the following 

1891 0

  • 1
    cosec A
    Correct
    Wrong
  • 2
    cos A
    Correct
    Wrong
  • 3
    secA
    Correct
    Wrong
  • 4
    sinA
    Correct
    Wrong
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Answer : 3. "secA"

Q: If sinθ-cosθ= \({7\over13}\) and 0º <θ<90°, then the value of Sinθ+Cosθ is 1887 0

  • 1
    \({17\over13}\)
    Correct
    Wrong
  • 2
    \({13\over17}\)
    Correct
    Wrong
  • 3
    \({1\over13}\)
    Correct
    Wrong
  • 4
    \({1\over17}\)
    Correct
    Wrong
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Answer : 1. "\({17\over13}\)"

Q:

$$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$

1876 0

  • 1
    $$ {tan^2{θ}}+cot^2{θ}$$
    Correct
    Wrong
  • 2
    $$ tanθ+cotθ$$
    Correct
    Wrong
  • 3
    $$ sinθ+cosθ$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "$$ tanθ+cotθ$$"
Explanation :

$$ \sqrt {sec^2{θ}+cosec^2{θ}}$$
We know that
$$ {1+tan^2{θ}}={sec^2θ}$$
$$ {1+cot^2{θ}}={cosec^2{θ}}$$
$$ \sqrt {1+tan^2{θ}+1+cot^2{θ}}$$

Q:

If sin3θ=cos(20° - θ) then find out  the value of θ.

1874 0

  • 1
    40°
    Correct
    Wrong
  • 2
    35°
    Correct
    Wrong
  • 3
    60°
    Correct
    Wrong
  • 4
    30°
    Correct
    Wrong
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Answer : 2. "35°"

Q:

If 2sin2 θ – 3 sin θ + 1 = 0,   θ being positive angle, then the values of θ are : 

1856 0

  • 1
    $$ 30^0, 90^0$$
    Correct
    Wrong
  • 2
    $$ 60^0, 55^0$$
    Correct
    Wrong
  • 3
    $$ 60^0, 45^0$$
    Correct
    Wrong
  • 4
    $$ 45^0, 55^0$$
    Correct
    Wrong
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Answer : 1. "$$ 30^0, 90^0$$"

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