Trigonometry Practice Question and Answer

Q:

If $${secθ+tanθ\over secθ-tanθ}=2{51\over79}$$, then the value of sinθ is equal to:

1618 0

  • 1
    $${35\over72}$$
    Correct
    Wrong
  • 2
    $${36\over72}$$
    Correct
    Wrong
  • 3
    $${91\over144}$$
    Correct
    Wrong
  • 4
    $${65\over144}$$
    Correct
    Wrong
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Answer : 4. "$${65\over144}$$"

Q:

If $${(2cos^3 A-cosA)\over (sin A- 2 sin^3 A)=1}$$ then what is the value of A?

1618 0

  • 1

    900

    Correct
    Wrong
  • 2

    300

    Correct
    Wrong
  • 3

    450

    Correct
    Wrong
  • 4

    600

    Correct
    Wrong
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Answer : 3. "

450

"

Q:

The value of $$ cos {20^o} cos {40^o}cos {60^o}cos {80^o}$$ is:

1617 0

  • 1
    $$ {1\over 15}$$
    Correct
    Wrong
  • 2
    $$ {1\over 16}$$
    Correct
    Wrong
  • 3
    $$ {1\over 12}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "$$ {1\over 16}$$"

Q:

If cosec 39°= x, the value of $$ {1\over {cosec^{2}{51°}}} +sin^{2} 39^{°}+tan^{2}{51^{°}}-{1\over {sin^{2}{51^{°}}}{Sec^{2}{39^{°}}}}$$ is-

1615 0

  • 1
    $$ {\sqrt{x^{2}-1}}$$
    Correct
    Wrong
  • 2
    $$ {\sqrt{1-x^{2}}}$$
    Correct
    Wrong
  • 3
    $$ {x^{2}-1}$$
    Correct
    Wrong
  • 4
    $$ {1-x^{2}}$$
    Correct
    Wrong
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Answer : 3. "$$ {x^{2}-1}$$"

Q:

If 4sin2 θ – 1 = 0 and angle θ is less than 900. The value of cos2 θ + tan2 θ is:
(Take 00 < θ < 900) 

1611 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:

Find the value of $$\left({1\over {sin 60°}} \right)^{2} + (cos 30°)^{2} \over(tan 45°)^{2}$$.

1598 0

  • 1
    $$ {25\over 9}$$
    Correct
    Wrong
  • 2
    $$ {25\over 12}$$
    Correct
    Wrong
  • 3
    $$ {25\over 4}$$
    Correct
    Wrong
  • 4
    $$ {5\over 9}$$
    Correct
    Wrong
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Answer : 2. "$$ {25\over 12}$$"

Q:

What is the value of $${\sqrt{1-cosA\over{1+cosA}}}$$?

1593 0

  • 1
    cosecA-sinA
    Correct
    Wrong
  • 2
    cosecA+cotA
    Correct
    Wrong
  • 3
    secA-cotA
    Correct
    Wrong
  • 4
    secA+cotA
    Correct
    Wrong
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Answer : 1. "cosecA-sinA"

Q:

If $$ {tan3A=cot{(2A+40)}}$$ then find the value of $$ {tan^2{3A}}+{cot^{4}3A}$$.

1590 0

  • 1
    $$ {27\over 3}$$
    Correct
    Wrong
  • 2
    $$ {28\over 3}$$
    Correct
    Wrong
  • 3
    $$ {2\over 3}$$
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 2. "$$ {28\over 3}$$"

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