Trigonometry Practice Question and Answer

Q:

If sec -5π/4 = x, then  the value   of x is

1006 0

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

Answer : 2. "-√2"

Q:

$$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$

1132 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 $$ secθ+tanθ=2+\sqrt{5}$$, then the value of $$ sinθ+cosθ$$ is:

865 0

  • 1
    $$ 3\over{\sqrt{5}}$$
    Correct
    Wrong
  • 2
    $$ {\sqrt{5}}$$
    Correct
    Wrong
  • 3
    $$ 7\over{\sqrt{5}}$$
    Correct
    Wrong
  • 4
    $$ 1\over{\sqrt{5}}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ 3\over{\sqrt{5}}$$"

Q:

$$ {tan^2θ}$$ is equal to:-

876 0

  • 1
    $$ {1\over cot^2{θ}}$$
    Correct
    Wrong
  • 2
    $$ {1\over sin^2{θ}}$$
    Correct
    Wrong
  • 3
    $$ {1\over cosec^2{θ}}$$
    Correct
    Wrong
  • 4
    $$ {1\over sec^2{θ}}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ {1\over cot^2{θ}}$$"

Q:

$$ {tan7°tan23°tan60°tan67°tan83°}$$ is equal to-

913 0

  • 1
    0
    Correct
    Wrong
  • 2
    $$ \sqrt{3}$$
    Correct
    Wrong
  • 3
    $$ 1\over \sqrt{3}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$ \sqrt{3}$$"

Q:

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

1111 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:

Find the value tanθ-cosθ in the given figure.

1308 0

  • 1
    $${4\over5}$$
    Correct
    Wrong
  • 2
    $$-{4\over9}$$
    Correct
    Wrong
  • 3
    $$-{1\over20}$$
    Correct
    Wrong
  • 4
    $${3\over20}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$-{1\over20}$$"

Q:

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

1170 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. "$${7\over4}$$"

      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