Trigonometry Question and Answers Practice Question and Answer

Q:

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

940 0

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

Q:

Simplify $$ \sqrt{(1-sin^{2}θ) ÷(1-cos^{2}θ)}$$.

937 0

  • 1
    Cot θ
    Correct
    Wrong
  • 2
    Tan θ
    Correct
    Wrong
  • 3
    Sec θ
    Correct
    Wrong
  • 4
    Cosec θ
    Correct
    Wrong
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Answer : 1. "Cot θ"

Q:

If tan (11 θ)=cot (7θ), then what is the value of sin2(6 θ) + Sec2 (9 θ) + cosec2(12 θ)?

1278 0

  • 1
    $$ {23\over 6}$$
    Correct
    Wrong
  • 2
    $$ {35\over 12}$$
    Correct
    Wrong
  • 3
    $$ {31\over 12}$$
    Correct
    Wrong
  • 4
    $$ {43\over 12}$$
    Correct
    Wrong
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Answer : 4. "$$ {43\over 12}$$"

Q:

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

860 0

  • 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 $$ {\sqrt{3}\ CosA=SinA}$$ then what is the value of Cot A?

1023 0

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

Q:

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

902 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:

Solve the given equation.
$$ {{cot \ 30°}\over {1+sin\ 45°}}+{{1+sin\ 45°}\over cot \ 30°}=?$$

2254 0

  • 1
    $$ {5\sqrt{3}}-{6\sqrt{6}}\over 6$$
    Correct
    Wrong
  • 2
    $$ {3-2\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {14\sqrt{3}}-{5\sqrt{6}}\over 6$$
    Correct
    Wrong
  • 4
    $$ {6\sqrt{6}}-{5\sqrt{3}}\over 6$$
    Correct
    Wrong
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Answer : 3. "$$ {14\sqrt{3}}-{5\sqrt{6}}\over 6$$"

Q:

Find the value of $$ {\sqrt{(cos^{2}20°+cos^{2}70°)}}$$

973 0

  • 1
    0
    Correct
    Wrong
  • 2
    $$ {2\over{\sqrt{3}}}$$
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    $$ {\sqrt{3}\over2}$$
    Correct
    Wrong
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Answer : 3. "1"

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