Trigonometry Practice Question and Answer

Q:

If $$ {2sinθ-cosθ\over cosθ+sinθ}=1 $$ then the value of Cotθ is

1130 0

  • 1
    $$ {1\over4}$$
    Correct
    Wrong
  • 2
    $$ {1\over2}$$
    Correct
    Wrong
  • 3
    $$ {1\over3}$$
    Correct
    Wrong
  • 4
    $$ {2\over3}$$
    Correct
    Wrong
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Answer : 2. "$$ {1\over2}$$"

Q:

$$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$

1129 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 sinθ-cosθ= \({7\over13}\) and 0º <θ<90°, then the value of Sinθ+Cosθ is 1125 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:

If cos3A = X, then value of X?

1120 0

  • 1
    4cos3A + 3cosA
    Correct
    Wrong
  • 2
    3cosA – 4cos3A
    Correct
    Wrong
  • 3
    cosA + 4cos3A
    Correct
    Wrong
  • 4
    4cos3A – 3cosA
    Correct
    Wrong
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Answer : 4. "4cos3A – 3cosA"

Q:

If secθ – tanθ = 1/3 what is secθ + tanθ?

1116 0

  • 1
    1
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    1/9
    Correct
    Wrong
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Answer : 3. "3 "

Q:

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

1116 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. "$$ 30^0, 90^0$$"

Q:

If 4tanθ=3,the  value of $$ \left({4sinθ-2cosθ\over4sinθ+2cosθ}\right) $$ is:-

1107 0

  • 1
    $$ {2\over5}$$
    Correct
    Wrong
  • 2
    $$ {1\over5}$$
    Correct
    Wrong
  • 3
    $$ {4\over5}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "$$ {1\over5}$$"

Q:

What is the value of $$ {2tan53°\over cot37°} -{cot80°\over tan10°}$$ is:

1101 0

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

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