Trigonometry Practice Question and Answer

Q:

If Tan4x – Tan2x=1 then the value of Sin4x + Sin2x is__

1600 0

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

Q:

If $$ {cot A={n\over{n+1}}}$$ and $$ {cot B={1\over{2n+1}}}$$ then what is the value of cot (A + B)?

1598 0

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

Q:

If sec -5π/4 = x, then  the value   of x is

1594 0

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

Q:

If  $$ {cosAcotA \over( 1 - sinA ) }=x $$ then the value of x is : 

1585 0

  • 1
    1 - cosecA
    Correct
    Wrong
  • 2
    1 + cosecA
    Correct
    Wrong
  • 3
    1 + secA
    Correct
    Wrong
  • 4
    1 - secA
    Correct
    Wrong
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Answer : 2. "1 + cosecA "

Q:

If a(tanθ+cotθ)=1, sinθ+cosθ=b and 0°<θ<90°, then the relation between a and b.

1576 0

  • 1
    $$ {2a={b^2}}+1$$
    Correct
    Wrong
  • 2
    $$ {b^2=2({a-1}})$$
    Correct
    Wrong
  • 3
    $$ {2a={b^2-1}}$$
    Correct
    Wrong
  • 4
    $$ {b^2=2({a+1}})$$
    Correct
    Wrong
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Answer : 3. "$$ {2a={b^2-1}}$$"

Q:

In ΔABC θ is an acute angle and tanθ is equal to three times of cotθ. Find the value of $$ {sin^{2}θ+cosec^{2}θ-{1\over 2}cot^{2}θ}$$.

1564 0

  • 1
    $$ {23\over 12}$$
    Correct
    Wrong
  • 2
    $$ {23\over 9}$$
    Correct
    Wrong
  • 3
    $$ {23\over 11}$$
    Correct
    Wrong
  • 4
    $$ {23\over 8}$$
    Correct
    Wrong
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Answer : 1. "$$ {23\over 12}$$"

Q:

If $$ {sin\ θ\ cosec\  θ\over tan θ}=4 $$  then Find the value of tan θ ?

1564 0

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

Q:

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

1552 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. "$$ {65\over144}$$"

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