Trigonometry Practice Question and Answer

Q:

If $$ {sin\ θ\ cosec\  θ\over tan θ}=4 $$  then Find the value of tan θ ?

1211 0

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

Q:

Find the minimum value of $$ {25 cosec^{2}θ +25sin^{2}θ}$$

1201 0

  • 1
    25
    Correct
    Wrong
  • 2
    50
    Correct
    Wrong
  • 3
    55
    Correct
    Wrong
  • 4
    20
    Correct
    Wrong
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Answer : 2. "50"

Q:

(secA – 1)/(secA + 1) is equal to?

1194 0

  • 1
    (1 – sinA)/(1 + sinA)
    Correct
    Wrong
  • 2
    (1 – cosA)/(1 + cosA)
    Correct
    Wrong
  • 3
    (1 + cosA)/(1 – cosA)
    Correct
    Wrong
  • 4
    (1 + sinA)/(1 – sinA)
    Correct
    Wrong
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Answer : 2. "(1 – cosA)/(1 + cosA)"

Q:

The value of $$ {(sec^{2}θ+tanθ\cotθ-tan^{2}θ)}$$

1191 0

  • 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 out value of Cosec $$\left(-{5π\over3} \right)$$?

1189 0

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

Q:

If a(tanθ+cotθ)=1, sinθ+cosθ=b and 0°<θ<90°, then the relation between a and b.

1187 0

  • 1
    $$ {2a={b^2}}+1$$
    Correct
    Wrong
  • 2
    $$ {b^2=2({a-1}})$$
    Correct
    Wrong
  • 3
    $$ {2a={b^2-1}}$$
    Correct
    Wrong
  • 4
    $$ {b^2=2({a+1}})$$
    Correct
    Wrong
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Answer : 3. "$$ {2a={b^2-1}}$$"

Q:

$$ {tan7°tan23°tan60°tan67°tan83°}$$ is equal to-

1184 0

  • 1
    0
    Correct
    Wrong
  • 2
    $$ \sqrt{3}$$
    Correct
    Wrong
  • 3
    $$ 1\over \sqrt{3}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "$$ \sqrt{3}$$"

Q:

If $$ {secθ+tanθ\over secθ - tanθ} $$= $$ 2{51\over 79} $$ sinθ then the value of sin θ is :

1183 0

  • 1
    $$ {91\over144}$$
    Correct
    Wrong
  • 2
    $$ {39\over72}$$
    Correct
    Wrong
  • 3
    $$ {65\over144}$$
    Correct
    Wrong
  • 4
    $$ {35\over72}$$
    Correct
    Wrong
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Answer : 3. "$$ {65\over144}$$"

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