Trigonometry Practice Question and Answer

Q:

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

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

Q:

If tan A=n tan B and Sin A= m Sin B, then the value of Cos2A is

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  • 1
    $$ {m^{2}+1\over {n^{2}+1}}$$
    Correct
    Wrong
  • 2
    $$ {m^{2}+1\over {n^{2}-1}}$$
    Correct
    Wrong
  • 3
    $$ {m^{2}-1\over {n^{2}-1}}$$
    Correct
    Wrong
  • 4
    $$ {m^{2}-1\over {n^{2}+1}}$$
    Correct
    Wrong
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Answer : 3. "$$ {m^{2}-1\over {n^{2}-1}}$$"

Q:

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

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  • 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:

$$ {tan^2θ}$$ is equal to:-

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  • 1
    $$ {1\over cot^2{θ}}$$
    Correct
    Wrong
  • 2
    $$ {1\over sin^2{θ}}$$
    Correct
    Wrong
  • 3
    $$ {1\over cosec^2{θ}}$$
    Correct
    Wrong
  • 4
    $$ {1\over sec^2{θ}}$$
    Correct
    Wrong
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Answer : 1. "$$ {1\over cot^2{θ}}$$"

Q:

If $$ {1+sinθ\over {1-sinθ}}={p^{2}\over{q^{2}}}$$, then sec θ is equal to:

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  • 1
    $$ {2p^{2}{q^{2}}\over {p^{2}+{q^{2}}}}$$
    Correct
    Wrong
  • 2
    $${1\over 2}\left({q\over p}+{p\over q} \right)$$
    Correct
    Wrong
  • 3
    $$ {1\over {p^{2}}}+{1\over {q^{2}}}$$
    Correct
    Wrong
  • 4
    $$ {p^{2}q^{2}}\over{p^{2}+q^{2}}$$
    Correct
    Wrong
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Answer : 2. "$${1\over 2}\left({q\over p}+{p\over q} \right)$$"

Q:

If 3 + cos2θ= 3(cot2θ + Sin2θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?

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

Q:

If $$ secθ-tanθ={1\over\sqrt{3}}$$, the value of secθ.tanθ=?

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

Q:

If $$ secθ+tanθ=2+\sqrt{5}$$, then the value of $$ sinθ+cosθ$$ is:

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  • 1
    $$ 3\over{\sqrt{5}}$$
    Correct
    Wrong
  • 2
    $$ {\sqrt{5}}$$
    Correct
    Wrong
  • 3
    $$ 7\over{\sqrt{5}}$$
    Correct
    Wrong
  • 4
    $$ 1\over{\sqrt{5}}$$
    Correct
    Wrong
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Answer : 1. "$$ 3\over{\sqrt{5}}$$"

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