Trigonometry Question and Answers Practice Question and Answer

Q:

$$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$

1126 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: If sinθ-cosθ= \({7\over13}\) and 0º <θ<90°, then the value of Sinθ+Cosθ is 1121 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:

If 2sin2 θ – 3 sin θ + 1 = 0,   θ being positive angle, then the values of θ are : 

1116 0

  • 1
    $$ 30^0, 90^0$$
    Correct
    Wrong
  • 2
    $$ 60^0, 55^0$$
    Correct
    Wrong
  • 3
    $$ 60^0, 45^0$$
    Correct
    Wrong
  • 4
    $$ 45^0, 55^0$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ 30^0, 90^0$$"

Q:

If cos3A = X, then value of X?

1115 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"

Q:

If secθ – tanθ = 1/3 what is secθ + tanθ?

1105 0

  • 1
    1
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    1/9
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "3 "

Q:

If 4tanθ=3,the  value of $$ \left({4sinθ-2cosθ\over4sinθ+2cosθ}\right) $$ is:-

1102 0

  • 1
    $$ {2\over5}$$
    Correct
    Wrong
  • 2
    $$ {1\over5}$$
    Correct
    Wrong
  • 3
    $$ {4\over5}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$ {1\over5}$$"

Q:

What is the value of $$ {2tan53°\over cot37°} -{cot80°\over tan10°}$$ is:

1101 0

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

Answer : 3. "1"

Q:

$$ sin^2 5° + sin^2 10°+sin^2 15°+.....sin^2 85°+sin^2 90°$$ is equal to

1082 0

  • 1
    $$ {17\over2}$$
    Correct
    Wrong
  • 2
    $$ {19\over2}$$
    Correct
    Wrong
  • 3
    $$ {21\over2}$$
    Correct
    Wrong
  • 4
    $$ {18\over2}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$ {19\over2}$$"

      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