Trigonometry Practice Question and Answer

Q:

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

1389 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:

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

1378 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
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Answer : 1. "$$ 30^0, 90^0$$"

Q:

If $$ {cot A={n\over{n+1}}}$$ and $$ {cot B={1\over{2n+1}}}$$ then what is the value of cot (A + B)?

1363 0

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

Q:

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

1358 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:

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

1355 0

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

Q:

If sin3θ=cos(20° - θ) then find out  the value of θ.

1353 0

  • 1
    40°
    Correct
    Wrong
  • 2
    35°
    Correct
    Wrong
  • 3
    60°
    Correct
    Wrong
  • 4
    30°
    Correct
    Wrong
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Answer : 2. "35°"

Q:

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

1351 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:

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:

1336 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. "$$ {322\over 323}$$"

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