Trigonometry Practice Question and Answer

Q:

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

555 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"

Q:

$$ secA(secA+tanA)(1-sinA)\over (cosec^2A-1)sin^2A$$ is equal to:

388 0

  • 1
    cotA
    Correct
    Wrong
  • 2
    cosA
    Correct
    Wrong
  • 3

       sec2A

    Correct
    Wrong
  • 4

      cos2A

    Correct
    Wrong
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Answer : 3. "

   sec2A

"

Q:

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

431 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:

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

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

413 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:

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

498 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:

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 :

374 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:

The value of (tan2A+ cot2A-2)- sec2A cosec2 A is:

401 0

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

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