Trigonometry Question and Answers Practice Question and Answer

Q:

If  tan2θ +cot2θ  = 2, then what is the value of  2secθ cosecθ?

1490 0

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

Q:

Find the value tanθ-cosθ in the given figure.

1488 0

  • 1
    $${4\over5}$$
    Correct
    Wrong
  • 2
    $$-{4\over9}$$
    Correct
    Wrong
  • 3
    $$-{1\over20}$$
    Correct
    Wrong
  • 4
    $${3\over20}$$
    Correct
    Wrong
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Answer : 3. "$$-{1\over20}$$"

Q:

What is the value of

1480 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 :

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Q:

What is the value of sin60° + cos230°+ cot2 45° + sec2 60° – cosec2 30° + cos2 0°.

1471 0

  • 1
    $$ {7\over2}$$
    Correct
    Wrong
  • 2
    $$ {7\over4}$$
    Correct
    Wrong
  • 3
    $$ {7\over3}$$
    Correct
    Wrong
  • 4
    $$ {7\over8}$$
    Correct
    Wrong
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Answer : 1. "$$ {7\over2}$$"

Q:

If tan α = 2, then the value of   $$ {cosec^2 α - sec^2 α}\over{cosec^2 α + sec^2 α}   $$ is : 

1461 0

  • 1
    $$ -{15\over 9} $$
    Correct
    Wrong
  • 2
    $$ {3\over 5} $$
    Correct
    Wrong
  • 3
    $$ -{3\over 5} $$
    Correct
    Wrong
  • 4
    $$ {17\over 5} $$
    Correct
    Wrong
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Answer : 3. "$$ -{3\over 5} $$"

Q: What is the value of the following 

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

1444 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:

$$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$

1420 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
$$ {1+tan^2{θ}}={sec^2θ}$$
$$ {1+cot^2{θ}}={cosec^2{θ}}$$
$$ \sqrt {1+tan^2{θ}+1+cot^2{θ}}$$

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