Trigonometry Practice Question and Answer

Q:

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

1685 0

  • 1
    $$ {17\over2}$$
    Correct
    Wrong
  • 2
    $$ {19\over2}$$
    Correct
    Wrong
  • 3
    $$ {21\over2}$$
    Correct
    Wrong
  • 4
    $$ {18\over2}$$
    Correct
    Wrong
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Answer : 2. "$$ {19\over2}$$"

Q:

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

1681 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
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Answer : 2. "$${1\over\sqrt { 6} \ } $$"

Q:

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

1680 0

  • 1
    $$ {1\over2}$$
    Correct
    Wrong
  • 2
    $$ {1\over3}$$
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 1. "$$ {1\over2}$$"

Q: What is the value of the following 

1671 0

  • 1
    cosec A
    Correct
    Wrong
  • 2
    cos A
    Correct
    Wrong
  • 3
    secA
    Correct
    Wrong
  • 4
    sinA
    Correct
    Wrong
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Answer : 3. "secA"

Q:

$$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$

1670 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:

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

1591 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. "$${7\over4}$$"

Q:

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

1563 0

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

Q:

If $$ {\sqrt{3}\ CosA=SinA}$$ then what is the value of Cot A?

1547 0

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

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