Trigonometry Practice Question and Answer

Q:

If $${secθ+tanθ\over secθ-tanθ}=2{51\over79}$$, then the value of sinθ is equal to:

1041 0

  • 1
    $${35\over72}$$
    Correct
    Wrong
  • 2
    $${36\over72}$$
    Correct
    Wrong
  • 3
    $${91\over144}$$
    Correct
    Wrong
  • 4
    $${65\over144}$$
    Correct
    Wrong
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Answer : 4. "$${65\over144}$$"

Q:

If $$ {Acos^{2}θ+Bsin^{2}θ}={sin^{2}θ(sec^{2}θ+1)\over{sec^{2}θ-1}}$$ and cotθ=?

1034 0

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

Q:

If a cot θ + b cosec θ= p and b cot θ + a cosec θ = q then p-q2 is equal to _____

1021 0

  • 1

    b2 – a2

    Correct
    Wrong
  • 2

    a2 – b2

    Correct
    Wrong
  • 3

    b – a

    Correct
    Wrong
  • 4

    a2+b2

    Correct
    Wrong
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Answer : 1. "

b2 – a2

"

Q:

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

1014 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:

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

1014 0

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

Q:

If 5sinθ – 4cosθ=0, 0°˂θ˂90°, then the value of $$ {5\sinθ-2\cosθ}\over {5\sinθ+3\cosθ}$$ is:

1003 0

  • 1
    $$ {3\over 8}$$
    Correct
    Wrong
  • 2
    $$ {2\over 7}$$
    Correct
    Wrong
  • 3
    $$ {5\over 7}$$
    Correct
    Wrong
  • 4
    $$ {3\over 5}$$
    Correct
    Wrong
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Answer : 2. "$$ {2\over 7}$$"

Q:

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

1002 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:

$$(1+tan θ+secθ)(1+cotθ-cosecθ)\over (sec θ+tan θ)(1-sin θ) $$ is equal to :

999 0

  • 1
    2sec θ
    Correct
    Wrong
  • 2
    2cosec θ
    Correct
    Wrong
  • 3
    cosec θ
    Correct
    Wrong
  • 4
    sec θ
    Correct
    Wrong
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Answer : 1. "2sec θ"

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