Trigonometry Question and Answers Practice Question and Answer

Q:

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

1001 0

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

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
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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:

859 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
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Answer : 1. "$$ 3\over{\sqrt{5}}$$"

Q:

$$ {tan^2θ}$$ is equal to:-

866 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
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Answer : 1. "$$ {1\over cot^2{θ}}$$"

Q:

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

902 0

  • 1
    0
    Correct
    Wrong
  • 2
    $$ \sqrt{3}$$
    Correct
    Wrong
  • 3
    $$ 1\over \sqrt{3}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "$$ \sqrt{3}$$"

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

Q:

Find the value tanθ-cosθ in the given figure.

1306 0

  • 1
    $${4\over5}$$
    Correct
    Wrong
  • 2
    $$-{4\over9}$$
    Correct
    Wrong
  • 3
    $$-{1\over20}$$
    Correct
    Wrong
  • 4
    $${3\over20}$$
    Correct
    Wrong
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Answer : 3. "$$-{1\over20}$$"

Q:

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

1166 0

  • 1
    $${7\over5}$$
    Correct
    Wrong
  • 2
    $${7\over4}$$
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    $${5\over7}$$
    Correct
    Wrong
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Answer : 2. "$${7\over4}$$"

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