Trigonometry Practice Question and Answer

Q:

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

1085 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: What is the value of the following 

1079 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:

If  $$ {cosAcotA \over( 1 - sinA ) }=x $$ then the value of x is : 

1055 0

  • 1
    1 - cosecA
    Correct
    Wrong
  • 2
    1 + cosecA
    Correct
    Wrong
  • 3
    1 + secA
    Correct
    Wrong
  • 4
    1 - secA
    Correct
    Wrong
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Answer : 2. "1 + cosecA "

Q:

If x cos2300. sin600=$${tan^2{45}^0.sec60^0}\over cosec\ 60^0$$ then the value of x : 

1050 0

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

Q:

In the given figure BC=15 cm and Sin B=4/5.  then find out the value of AB?

1028 0

  • 1
    25 cm
    Correct
    Wrong
  • 2
    20 cm
    Correct
    Wrong
  • 3
    5 cm
    Correct
    Wrong
  • 4
    4 cm
    Correct
    Wrong
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Answer : 1. "25 cm"

Q:

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

1027 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. "$$ {1\over {\sqrt{3}}}$$"

Q:

If A and B are acute angles and Sec A =3; Cot B=4, then the value of $$ {Cosec^{2}A}+Sin^{2}B\over {Cot^{2}A+Sec^{2}B}$$ is:

1023 0

  • 1
    2
    Correct
    Wrong
  • 2
    $$ {25\over 261}$$
    Correct
    Wrong
  • 3
    $$ {322\over 323}$$
    Correct
    Wrong
  • 4
    $$ {1\over 261}$$
    Correct
    Wrong
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Answer : 3. "$$ {322\over 323}$$"

Q:

If cosec 39°= x, the value of $$ {1\over {cosec^{2}{51°}}} +sin^{2} 39^{°}+tan^{2}{51^{°}}-{1\over {sin^{2}{51^{°}}}{Sec^{2}{39^{°}}}}$$ is-

1019 0

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

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