Trigonometry Practice Question and Answer

Q:

Find the value of $$\left({1\over {sin 60°}} \right)^{2} + (cos 30°)^{2} \over(tan 45°)^{2}$$.

1006 0

  • 1
    $$ {25\over 9}$$
    Correct
    Wrong
  • 2
    $$ {25\over 12}$$
    Correct
    Wrong
  • 3
    $$ {25\over 4}$$
    Correct
    Wrong
  • 4
    $$ {5\over 9}$$
    Correct
    Wrong
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Answer : 2. "$$ {25\over 12}$$"

Q:

The value of $$ {3sin30°-4sin^{3}30°}$$

1429 0

  • 1
    Sin30°
    Correct
    Wrong
  • 2
    Cos60°
    Correct
    Wrong
  • 3
    sin90°
    Correct
    Wrong
  • 4
    Cos90°
    Correct
    Wrong
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Answer : 3. "sin90°"

Q:

The value of $$ {2(1-sin^{2}θ)}+{2(1-cos^{2}θ)}$$. 

895 0

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

Q:

$$ {3sin60°-4sin^{3}60°=?}$$

805 0

  • 1
    $$ {2\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {4\sqrt{3}}$$
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    50
    Correct
    Wrong
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Answer : 3. "0"

Q:

$$ {3tan^{2}30°}-{4\over 3}{sin^{2}60°}- {1\over2}{cosec^{2}45°}+{4\over3}{sin^{2}90°=?}$$

848 0

  • 1
    $$ {2\over3}$$
    Correct
    Wrong
  • 2
    $$ {1\over3}$$
    Correct
    Wrong
  • 3
    $$ {4\over3}$$
    Correct
    Wrong
  • 4
    $$ {5\over4}$$
    Correct
    Wrong
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Answer : 2. "$$ {1\over3}$$"

Q:

The value of $$ cot\ {π\over 20}\ cot{3π\over 20} \cot{5π\over20}\ cot{7π\over 20}\ cot {9π\over20}$$ is:

1298 0

  • 1
    -1
    Correct
    Wrong
  • 2
    $$ {1\over 2}$$
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 4. "1"

Q:

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

1145 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:

If cosec 39°= x, the value of $$ {1\over {cosec^{2}{51°}}} +sin^{2} 39^{°}+tan^{2}{51^{°}}-{1\over {sin^{2}{51^{°}}}{Sec^{2}{39^{°}}}}$$ is-

1019 0

  • 1
    $$ {\sqrt{x^{2}-1}}$$
    Correct
    Wrong
  • 2
    $$ {\sqrt{1-x^{2}}}$$
    Correct
    Wrong
  • 3
    $$ {x^{2}-1}$$
    Correct
    Wrong
  • 4
    $$ {1-x^{2}}$$
    Correct
    Wrong
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Answer : 3. "$$ {x^{2}-1}$$"

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