Trigonometry Practice Question and Answer

Q:

The value of   $${cosθ+sin^6θ+3sin^2θ \ cos^2θ}\over cosecθsecθ(sinθ+cosθ-1)(sinθ+cosθ+1) $$

376 0

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

Q:

(sinθ+cosecθ)2+(cos θ+ sec θ)2=?

508 0

  • 1
    5 + tan2 θ + cot2 θ
    Correct
    Wrong
  • 2
    7 + tan2 θ - cot2 θ
    Correct
    Wrong
  • 3
    7 + tan2 θ + cot2 θ
    Correct
    Wrong
  • 4
    5 + tan2 θ - cot2 θ
    Correct
    Wrong
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Answer : 3. "7 + tan2 θ + cot2 θ"

Q:

If a cot θ + b cosec θ= p and b cot θ + a cosec θ = q then p-q2 is equal to _____

533 0

  • 1

    b2 – a2

    Correct
    Wrong
  • 2

    a2 – b2

    Correct
    Wrong
  • 3

    b – a

    Correct
    Wrong
  • 4

    a2+b2

    Correct
    Wrong
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Answer : 1. "

b2 – a2

"

Q:

Select the INCORRECT formula from the following options.

544 0

  • 1

    cosec2θ - cot2θ=1

    Correct
    Wrong
  • 2

    sin2θ + cos2θ=1

    Correct
    Wrong
  • 3

    sec2θ + cos2θ=1

    Correct
    Wrong
  • 4

    sec2θ – tan2θ=1

    Correct
    Wrong
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Answer : 3. "

sec2θ + cos2θ=1

"

Q:

Find the exact value of cos 1200.

402 0

  • 1
    1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    -0.5
    Correct
    Wrong
  • 4
    0.5
    Correct
    Wrong
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Answer : 3. "-0.5"

Q:

 if $$tan(A+B)=\sqrt { 3} \ $$ and $$ tan(A-B)= {1\over \sqrt { 3} \   }; 0^0<(A+B)<90^0;A>B, $$ then the value of A and B are

394 0

  • 1
    45° and 15°
    Correct
    Wrong
  • 2
    15° and 45°
    Correct
    Wrong
  • 3
    30° and 30°
    Correct
    Wrong
  • 4
    60° and 30°
    Correct
    Wrong
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Answer : 1. "45° and 15° "

Q:

Evaluate the following.

sin 25° sin 65° – cos 25° cos 65°.

643 0

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

Q:

The value of $$\left({sin37^0cos53^0+cos37^0sin^0} \right)-\left({4cos^237^0-7+4cos^253^0\over tan^247^0+4-cosec^243^0} is \right)$$

373 0

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

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