Trigonometry Practice Question and Answer

Q:

$$(1+tan θ+secθ)(1+cotθ-cosecθ)\over (sec θ+tan θ)(1-sin θ) $$ is equal to :

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  • 1
    2sec θ
    Correct
    Wrong
  • 2
    2cosec θ
    Correct
    Wrong
  • 3
    cosec θ
    Correct
    Wrong
  • 4
    sec θ
    Correct
    Wrong
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Answer : 1. "2sec θ"

Q:

The numerical value of $$ {1\over 1+cot2}+{3\over 1+tan^2θ}+2sin^2θ$$ will be 

557 0

  • 1
    2
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 4. "3"

Q:

If is a positive acute angle and 5 cosθ + 12 sinθ = 13, then find the value of cosθ?

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  • 1
    $${12\over13}$$
    Correct
    Wrong
  • 2
    $${5\over13}$$
    Correct
    Wrong
  • 3
    $${5\over13}$$
    Correct
    Wrong
  • 4
    $${1\over5}$$
    Correct
    Wrong
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Answer : 2. " $${5\over13}$$"

Q:

The value of sin 730 + cos 1370 is:

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  • 1

    cos 130

    Correct
    Wrong
  • 2

    sin 130

    Correct
    Wrong
  • 3

    cos 180

    Correct
    Wrong
  • 4

    sin 180

    Correct
    Wrong
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Answer : 2. "

sin 130

"

Q:

The elimination of θ from x cosθ-y sinθ=2 and x sinθ + ycosθ = 4 will give

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  • 1

    x2+y2=20

    Correct
    Wrong
  • 2

    3x2+y2=20

    Correct
    Wrong
  • 3

    x2-y2=20

    Correct
    Wrong
  • 4

    3x2-y2=10

    Correct
    Wrong
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Answer : 1. "

x2+y2=20

"

Q:

Select the INCORRECT formula from the following options.

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  • 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:

if 2sinθ + 2sin2θ = 2, then the value of 2 cos4θ + 2cos2θ is:

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

Q:

Find the value of sin (1920°)

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  • 1
    1 / 2
    Correct
    Wrong
  • 2
    1 / √2
    Correct
    Wrong
  • 3
    √3 / 2
    Correct
    Wrong
  • 4
    1 / 3
    Correct
    Wrong
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Answer : 3. "√3 / 2 "

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