Trigonometry Practice Question and Answer

Q:

If x tan45° cos30° = sin30° cos45°, then x is equal to - 

1769 0

  • 1
    $${1\over\sqrt { 3} \ } $$
    Correct
    Wrong
  • 2
    $${1\over\sqrt { 6} \ } $$
    Correct
    Wrong
  • 3
    $${1\over\sqrt { 2} \ } $$
    Correct
    Wrong
  • 4
    $${2\over\sqrt { 3} \ } $$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$${1\over\sqrt { 6} \ } $$"

Q:

If  $$ {2\ sinθ-cos θ\over {cosθ+sinθ}}=1$$, then value of cotθ is:

1765 0

  • 1
    $$ {1\over2}$$
    Correct
    Wrong
  • 2
    $$ {1\over3}$$
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ {1\over2}$$"

Q: If sinθ-cosθ= \({7\over13}\) and 0º <θ<90°, then the value of Sinθ+Cosθ is 1758 0

  • 1
    \({17\over13}\)
    Correct
    Wrong
  • 2
    \({13\over17}\)
    Correct
    Wrong
  • 3
    \({1\over13}\)
    Correct
    Wrong
  • 4
    \({1\over17}\)
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "\({17\over13}\)"

Q: What is the value of the following 

1737 0

  • 1
    cosec A
    Correct
    Wrong
  • 2
    cos A
    Correct
    Wrong
  • 3
    secA
    Correct
    Wrong
  • 4
    sinA
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "secA"

Q:

$$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$

1726 0

  • 1
    $$ {tan^2{θ}}+cot^2{θ}$$
    Correct
    Wrong
  • 2
    $$ tanθ+cotθ$$
    Correct
    Wrong
  • 3
    $$ sinθ+cosθ$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$ tanθ+cotθ$$"
Explanation :

$$ \sqrt {sec^2{θ}+cosec^2{θ}}$$
We know that
$$ {1+tan^2{θ}}={sec^2θ}$$
$$ {1+cot^2{θ}}={cosec^2{θ}}$$
$$ \sqrt {1+tan^2{θ}+1+cot^2{θ}}$$

Q:

Find the value of $$\left({sin 35°\over cos55°} \right)^2+\left({cos55°\over sin 35°} \right)^2 \ -2 sin^{3}30°$$

1712 0

  • 1
    $${7\over5}$$
    Correct
    Wrong
  • 2
    $${7\over4}$$
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    $${5\over7}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$${7\over4}$$"

Q:

Find the value of (cosA - sinA)2 + (cosA + sinA)2   -

1663 0

  • 1
    0
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "2"

Q:

If cos3A = X, then value of X?

1638 0

  • 1
    4cos3A + 3cosA
    Correct
    Wrong
  • 2
    3cosA – 4cos3A
    Correct
    Wrong
  • 3
    cosA + 4cos3A
    Correct
    Wrong
  • 4
    4cos3A – 3cosA
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "4cos3A – 3cosA"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully