Trigonometry Question and Answers Practice Question and Answer

Q:

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

1212 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:

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

1208 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:

Which of the following values suits for A to make the equation  $$ {{ATan62°Sec 28°Cot 38°}\over {Cosec62°Tan11°}}=1$$ ?

1207 0

  • 1
    $$ {{Tan38°Tan79°}\over {Tan 28°}}$$
    Correct
    Wrong
  • 2
    $$ {{Tan28°Tan38°}\over {Tan 79°}}$$
    Correct
    Wrong
  • 3
    $$ {{Tan38°}\over {Tan 79°Tan28°}}$$
    Correct
    Wrong
  • 4
    $$ {{Tan28° Tan 79°}\over { Tan38°}}$$
    Correct
    Wrong
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Answer : 2. "$$ {{Tan28°Tan38°}\over {Tan 79°}}$$"

Q:

The value of $$ {(cos {\ 9°}+sin{\ 81°}})({sec {\ {9°}+cosec{\ 81°}}})\over{sin{\ 56°}sec{\ 34° }}+ {cos{\ 25°}cosec{\ 65°}}$$ is:

1199 0

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

Q:

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

1191 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:

The value of $$ {tan\ 40°+tan\ 20° +\sqrt{3}\ tan20° tan40°}$$?

1150 0

  • 1
    $$ {\sqrt{12}}$$
    Correct
    Wrong
  • 2
    $$ {1\over{\sqrt{3}}}$$
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    $$ {\sqrt{3}}$$
    Correct
    Wrong
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Answer : 4. "$$ {\sqrt{3}}$$"

Q:

In △ABC, right angle at B, if   $$tan\ A={1\over 2}$$, then the value of $$sinA(cosC+cosA)\over cosC(sin C-sinA)$$ is :

1142 0

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

Q:

What is the value of $${cos^2A\over {1+sinA}}$$?

1142 0

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

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