Trigonometry Practice Question and Answer

Q:

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

1054 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 4sin2 θ – 1 = 0 and angle θ is less than 900. The value of cos2 θ + tanθ is:
(Take 00 < θ < 900

844 0

  • 1
    $$ 13\over 12$$
    Correct
    Wrong
  • 2
    $$ 12\over 11$$
    Correct
    Wrong
  • 3
    $$ 11\over 9$$
    Correct
    Wrong
  • 4
    $$ 17\over 15$$
    Correct
    Wrong
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Answer : 1. "$$ 13\over 12$$"

Q:

If tan α = 2, then the value of   $$ {cosec^2 α - sec^2 α}\over{cosec^2 α + sec^2 α}   $$ is : 

1284 0

  • 1
    $$ -{15\over 9} $$
    Correct
    Wrong
  • 2
    $$ {3\over 5} $$
    Correct
    Wrong
  • 3
    $$ -{3\over 5} $$
    Correct
    Wrong
  • 4
    $$ {17\over 5} $$
    Correct
    Wrong
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Answer : 3. "$$ -{3\over 5} $$"

Q:

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

1118 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:

The value of sec4 A (1 – sin4A) – 2tan2A is: 

878 0

  • 1
    $$ {1\over 2} $$
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 4. "1"

Q:

The value of $$ sec{^4}A(1-sin{^4}A)-2tan{^2}A $$ is:

1005 0

  • 1
    $$ {1\over2}$$
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 4. "1"
Explanation :

 Put A=45 degree and we can get answer.

Q:

If $$ secθ-tanθ={1\over\sqrt{3}}$$, the value of secθ.tanθ=?

867 0

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

Q:

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

1101 0

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

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