Trigonometry Question and Answers Practice Question and Answer

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 :

372 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:

If $$ cosecθ + cotθ =p $$, then the value of  $${p^2-1}\over{p^2+1}$$ is:

370 0

  • 1
    cos θ
    Correct
    Wrong
  • 2
    cot θ
    Correct
    Wrong
  • 3
    cosec θ
    Correct
    Wrong
  • 4
    sin θ
    Correct
    Wrong
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Answer : 1. "cos θ"

Q:

If $$cosθ + cos^2θ= 1,$$find the value of $$\sqrt {sin^4θ+cos^2θ} \ $$

365 0

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

Q:

 if $$tan(A+B)=\sqrt { 3} \ $$ and $$ tan(A-B)= {1\over \sqrt { 3} \   }; 0^0<(A+B)<90^0;A>B, $$ then the value of A and B are

364 0

  • 1
    45° and 15°
    Correct
    Wrong
  • 2
    15° and 45°
    Correct
    Wrong
  • 3
    30° and 30°
    Correct
    Wrong
  • 4
    60° and 30°
    Correct
    Wrong
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Answer : 1. "45° and 15° "

Q:

if $$ sinA= {4\over 5}$$, then what is the value of $$sin^2A$$

362 0

  • 1
    $$16\over 25$$
    Correct
    Wrong
  • 2
    $$26\over 25$$
    Correct
    Wrong
  • 3
    $$48\over 25$$
    Correct
    Wrong
  • 4
    $$36\over 25$$
    Correct
    Wrong
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Answer : 1. "$$16\over 25$$"

Q:

If sin2θ - 3sinθ + 2=0, the find the value of θ(00≤ θ≤900)

359 0

  • 1

    450

    Correct
    Wrong
  • 2

    00

    Correct
    Wrong
  • 3

    600

    Correct
    Wrong
  • 4

    900

    Correct
    Wrong
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Answer : 4. "

900

"

Q:

Find the value of sec θ − tan θ, if sec θ + tan θ = $$ \sqrt { 5} $$

357 0

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

Q:

The value of   $${cosθ+sin^6θ+3sin^2θ \ cos^2θ}\over cosecθsecθ(sinθ+cosθ-1)(sinθ+cosθ+1) $$

355 0

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

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