Trigonometry Question and Answers Practice Question and Answer

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-

1495 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. "$$ {x^{2}-1}$$"

Q:

Find the minimum value of $$ {25 cosec^{2}θ +25sin^{2}θ}$$

1478 0

  • 1
    25
    Correct
    Wrong
  • 2
    50
    Correct
    Wrong
  • 3
    55
    Correct
    Wrong
  • 4
    20
    Correct
    Wrong
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Answer : 2. "50"

Q:

If $$ {secθ+tanθ\over secθ - tanθ} $$= $$ 2{51\over 79} $$ sinθ then the value of sin θ is :

1476 0

  • 1
    $$ {91\over144}$$
    Correct
    Wrong
  • 2
    $$ {39\over72}$$
    Correct
    Wrong
  • 3
    $$ {65\over144}$$
    Correct
    Wrong
  • 4
    $$ {35\over72}$$
    Correct
    Wrong
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Answer : 3. "$$ {65\over144}$$"

Q:

$$ {tan7°tan23°tan60°tan67°tan83°}$$ is equal to-

1473 0

  • 1
    0
    Correct
    Wrong
  • 2
    $$ \sqrt{3}$$
    Correct
    Wrong
  • 3
    $$ 1\over \sqrt{3}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "$$ \sqrt{3}$$"

Q:

The value of sec4 A (1 – sin4A) – 2tan2A is: 

1468 0

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

Q:

If $$ sin(θ+30^0)= {3\over \sqrt { 12} }  $$ then find cos2θ : 

1466 0

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

Q:

If Cos A + Cos2 A = 1, then Sin2 A + Sin4 A=?

1466 0

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

Q:

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

1463 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. "$$ {25\over 12}$$"

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