Trigonometry Practice Question and Answer

Q:

Solve it $$ {sin \ θ\over 1+cos\ θ}+{1+cosθ\over sin\ θ}=?$$

964 0

  • 1
    $$ {tan \ θ} $$
    Correct
    Wrong
  • 2
    $$ {cot\ θ}$$
    Correct
    Wrong
  • 3
    $$ {2\over sinθ}$$
    Correct
    Wrong
  • 4
    $$ {2\over cosθ}$$
    Correct
    Wrong
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Answer : 3. "$$ {2\over sinθ}$$"

Q:

Simplify $$ ({Sinθ\over{1+cosθ}}+{1+cosθ\over sinθ})({1\over (tanθ+cotθ)})$$

950 0

  • 1
    $$ {cos{\ θ}}$$
    Correct
    Wrong
  • 2
    $$ {2sin{\ θ}}$$
    Correct
    Wrong
  • 3
    $$ {sin{\ θ}}$$
    Correct
    Wrong
  • 4
    $$ {2cos{\ θ}}$$
    Correct
    Wrong
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Answer : 4. "$$ {2cos{\ θ}}$$"

Q:

If $$ {sin\ {θ}}={1\over {\sqrt{2}}}$$ then (tanθ+cosθ)=?

933 1

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

Q:

If 2sinθ+cosθ= $${7\over3}$$ then the value of (tan2θ-sec2θ) is

922 0

  • 1
    0
    Correct
    Wrong
  • 2
    -1
    Correct
    Wrong
  • 3
    $${3\over7}$$
    Correct
    Wrong
  • 4
    $${7\over3}$$
    Correct
    Wrong
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Answer : 2. "-1"

Q:

$${sin^2θ\over cosθ(1+cosθ)}+{1+cosθ\over cosθ} =?$$

914 0

  • 1
    cosecθ
    Correct
    Wrong
  • 2
    secθ
    Correct
    Wrong
  • 3
    2cosθ
    Correct
    Wrong
  • 4
    2secθ
    Correct
    Wrong
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Answer : 4. "2secθ"

Q:

If secθ + tanθ = 3, then the value of secθ is:

869 0

  • 1
    $${4\over3}$$
    Correct
    Wrong
  • 2
    $${3\over4}$$
    Correct
    Wrong
  • 3
    $${3\over5}$$
    Correct
    Wrong
  • 4
    $${5\over3}$$
    Correct
    Wrong
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Answer : 4. "$${5\over3}$$"

Q:

If $${cos^2θ\over cot^2θ-cos^2θ}=3,$$ where $${0^0<θ<90^0}$$ then the value of θ is:

858 0

  • 1
    $${{45^0}}$$
    Correct
    Wrong
  • 2
    $${{50^0}}$$
    Correct
    Wrong
  • 3
    $${{60^0}}$$
    Correct
    Wrong
  • 4
    $${{50^0}}$$
    Correct
    Wrong
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Answer : 3. "$${{60^0}}$$"

Q:

The numerical value of $$ {1\over 1+cot2}+{3\over 1+tan^2θ}+2sin^2θ$$ will be 

852 0

  • 1
    2
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 4. "3"

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