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:

The value of $$ {(sec^{2}θ+tanθ\cotθ-tan^{2}θ)}$$

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

Q:

Find out value of Cosec $$\left(-{5π\over3} \right)$$?

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

Q:

(sinθ+cosecθ)2+(cos θ+ sec θ)2=?

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  • 1
    5 + tan2 θ + cot2 θ
    Correct
    Wrong
  • 2
    7 + tan2 θ - cot2 θ
    Correct
    Wrong
  • 3
    7 + tan2 θ + cot2 θ
    Correct
    Wrong
  • 4
    5 + tan2 θ - cot2 θ
    Correct
    Wrong
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Answer : 3. "7 + tan2 θ + cot2 θ"

Q:

If 0 ≤ θ ≤ 900 and 4cos2θ - $$4{\sqrt { 3} \ }cosθ$$ + 3 = 0, then the value of θ is : 

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  • 1
    $$30^0$$
    Correct
    Wrong
  • 2
    $$90^0$$
    Correct
    Wrong
  • 3
    $$45^0$$
    Correct
    Wrong
  • 4
    $$60^0$$
    Correct
    Wrong
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Answer : 1. "$$30^0$$"

Q:

If $$ {tan\ θ={a\over b}}$$ then $$ {a\sinθ+b\cosθ\over{a\sinθ-b\cosθ}}$$  is

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

Q:

$$ {3sin60°-4sin^{3}60°=?}$$

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  • 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:

If tan $$ -{7π\over4}=x $$ then the value of x is : 

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  • 1
    $$-{1\over2}$$
    Correct
    Wrong
  • 2
    $$-{√3\over2}$$
    Correct
    Wrong
  • 3
    $${√3\over2}$$
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 4. "1"

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