Trigonometry Question and Answers Practice Question and Answer

Q:

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

911 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 elimination of θ from x cosθ-y sinθ=2 and x sinθ + ycosθ = 4 will give

902 0

  • 1

    x2+y2=20

    Correct
    Wrong
  • 2

    3x2+y2=20

    Correct
    Wrong
  • 3

    x2-y2=20

    Correct
    Wrong
  • 4

    3x2-y2=10

    Correct
    Wrong
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Answer : 1. "

x2+y2=20

"

Q:

For any real value of $${\sqrt {secθ-1}\over \sqrt {secθ+1} }=?$$

900 0

  • 1
    cotθ-cosecθ
    Correct
    Wrong
  • 2
    secθ-tanθ
    Correct
    Wrong
  • 3
    cosecθ-cotθ
    Correct
    Wrong
  • 4
    tanθ-secθ
    Correct
    Wrong
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Answer : 3. "cosecθ-cotθ"

Q:

$${1+sinθ}\over cosθ $$ is equal to which of the following (where $$θ ≠ {π\over2} $$

890 0

  • 1
    $${1+cosθ}\over sinθ $$
    Correct
    Wrong
  • 2
    $${tan θ+1}\over tan θ-1 $$
    Correct
    Wrong
  • 3
    $${tan θ-1}\over tan θ+1 $$
    Correct
    Wrong
  • 4
    $$cosθ \over {1-sinθ}\ $$
    Correct
    Wrong
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Answer : 4. "$$cosθ \over {1-sinθ}\ $$"

Q:

What is the value of the expression?

(tan0° tan1° tan2° tan3° tan4° …… tan89°)

875 0

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

Q:

if $${secA={5\over 4}}$$, then the value of $${{tanA}\over 1+tan^2A}-{sinA\over secA}$$ is

874 0

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

Q:

If cos(2θ+54°) = sinθ, 0°<(2θ-54°)<90°, then what is the value of $$1\over tan5θ+cosec{5θ\over 2}$$   

870 0

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

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

860 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° "

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