Trigonometry Practice Question and Answer

Q:

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

734 0

  • 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:

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

733 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"

Q:

Sin (45 + θ) – Cos (45 – θ) is:

725 1

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

Q:

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

717 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:

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

710 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 tanx = cot(50+3x), then what is the value of x ?

698 0

  • 1
    11
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    10
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 3. "10"

Q:

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

679 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 sin2a = cos3a then the value of cot6 a – cot2a? 

677 0

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

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