Trigonometry Practice Question and Answer

Q:

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

599 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

545 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 ;

459 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 $$ {x^2\over a^2}+{y^2\over b^2}-{z^2\over c^2} $$

492 0

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

Q:

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

558 0

  • 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:

If p = cosec θ – cot θ and q = (cosec θ + cot θ)-1 then which one of the following is correct?

525 0

  • 1
    p - q = 1
    Correct
    Wrong
  • 2
    p = q
    Correct
    Wrong
  • 3
    p + q = 1
    Correct
    Wrong
  • 4
    p + q = 0
    Correct
    Wrong
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Answer : 2. "p = q "

Q:

What is the value of the expression?

(tan0° tan1° tan2° tan3° tan4° …… tan89°)

519 0

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

Q:

Find the value of sin (1920°)

535 0

  • 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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