Trigonometry Question and Answers Practice Question and Answer

Q:

If Tan4x – Tan2x=1 then the value of Sin4x + Sin2x is__

1417 0

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

Q:

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

1416 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:

If 0 ≤ θ ≤ 900 and 4cos2θ - $$4{\sqrt { 3} \ }cosθ$$ + 3 = 0, then the value of θ is : 

1413 0

  • 1
    $$30^0$$
    Correct
    Wrong
  • 2
    $$90^0$$
    Correct
    Wrong
  • 3
    $$45^0$$
    Correct
    Wrong
  • 4
    $$60^0$$
    Correct
    Wrong
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Answer : 1. "$$30^0$$"

Q:

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

1389 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 :

1389 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. "$$ {65\over144}$$"

Q:

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

1388 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?

1382 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:

If $$ sin(θ+30^0)= {3\over \sqrt { 12} }  $$ then find cos2θ : 

1379 0

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

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