Trigonometry Question and Answers Practice Question and Answer

Q:

For any real value of $${\sqrt {secθ-1}\over \sqrt {secθ+1} }=?$$

250 0

  • 1
    cotθ-cosecθ
    Correct
    Wrong
  • 2
    secθ-tanθ
    Correct
    Wrong
  • 3
    cosecθ-cotθ
    Correct
    Wrong
  • 4
    tanθ-secθ
    Correct
    Wrong
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Answer : 3. "cosecθ-cotθ"

Q:

If 2sinθ+cosθ= $${7\over3}$$ then the value of (tan2θ-sec2θ) is

187 0

  • 1
    0
    Correct
    Wrong
  • 2
    -1
    Correct
    Wrong
  • 3
    $${3\over7}$$
    Correct
    Wrong
  • 4
    $${7\over3}$$
    Correct
    Wrong
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Answer : 2. "-1"

Q:

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

318 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:

The greatest value of $$ Sin^{4}θ+Cos^{4}θ $$ is:

1459 0

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

Q:

if (1+sinα) (1-sinβ) (1+sinγ)= (1-sinα) (1-sinβ) (1-sinγ)=?

307 0

  • 1
    ±cosαcosβcosγ
    Correct
    Wrong
  • 2
    ±sinαsinβsinγ
    Correct
    Wrong
  • 3
    ±sinαcosβsecγ
    Correct
    Wrong
  • 4
    ±sinαsinβcosγ
    Correct
    Wrong
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Answer : 1. "±cosαcosβcosγ"

Q:

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

296 0

  • 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:

If $${secθ+tanθ\over secθ-tanθ}={5\over 3}$$ then sinθ is equal to ;

270 0

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

Q:

If x = a secθ cos∅, y = b secθ sin∅, z=c tanθ, then the value of $$ {x^2\over a^2}+{y^2\over b^2}-{z^2\over c^2} $$

252 0

  • 1
    1
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "1"

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