Trigonometry Question and Answers Practice Question and Answer

Q:

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

940 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:

Simplify $$ \sqrt{(1-sin^{2}θ) ÷(1-cos^{2}θ)}$$.

937 0

  • 1
    Cot θ
    Correct
    Wrong
  • 2
    Tan θ
    Correct
    Wrong
  • 3
    Sec θ
    Correct
    Wrong
  • 4
    Cosec θ
    Correct
    Wrong
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Answer : 1. "Cot θ"

Q:

In ΔABC θ is an acute angle and tanθ is equal to three times of cotθ. Find the value of $$ {sin^{2}θ+cosec^{2}θ-{1\over 2}cot^{2}θ}$$.

925 0

  • 1
    $$ {23\over 12}$$
    Correct
    Wrong
  • 2
    $$ {23\over 9}$$
    Correct
    Wrong
  • 3
    $$ {23\over 11}$$
    Correct
    Wrong
  • 4
    $$ {23\over 8}$$
    Correct
    Wrong
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Answer : 1. "$$ {23\over 12}$$"

Q:

If 3 tan θ - 4 = 0 and 180° < θ < 270° then cosec θ = _______

910 0

  • 1
    $$- {5\over4}$$
    Correct
    Wrong
  • 2
    $$ {4\over5}$$
    Correct
    Wrong
  • 3
    $$ -{4\over5}$$
    Correct
    Wrong
  • 4
    $$-{5\over4}$$
    Correct
    Wrong
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Answer : 1. "$$- {5\over4}$$"

Q:

(secA – 1)/(secA + 1) is equal to?

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  • 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:

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

906 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 cos θ + sin θ =m, sec θ + cosec θ =n, what is m/n?

905 0

  • 1
    1
    Correct
    Wrong
  • 2
    sin θ cos θ
    Correct
    Wrong
  • 3
    sec θ cosec θ
    Correct
    Wrong
  • 4
    cot θ tan θ
    Correct
    Wrong
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Answer : 2. "sin θ cos θ"

Q:

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

903 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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