Trigonometry Practice Question and Answer

Q:

(secA – 1)/(secA + 1) is equal to?

1526 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:

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

1507 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:

Select the INCORRECT formula from the following options.

1501 0

  • 1

    cosec2θ - cot2θ=1

    Correct
    Wrong
  • 2

    sin2θ + cos2θ=1

    Correct
    Wrong
  • 3

    sec2θ + cos2θ=1

    Correct
    Wrong
  • 4

    sec2θ – tan2θ=1

    Correct
    Wrong
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Answer : 3. "

sec2θ + cos2θ=1

"

Q:

If tan A=n tan B and Sin A= m Sin B, then the value of Cos2A is

1497 0

  • 1
    $$ {m^{2}+1\over {n^{2}+1}}$$
    Correct
    Wrong
  • 2
    $$ {m^{2}+1\over {n^{2}-1}}$$
    Correct
    Wrong
  • 3
    $$ {m^{2}-1\over {n^{2}-1}}$$
    Correct
    Wrong
  • 4
    $$ {m^{2}-1\over {n^{2}+1}}$$
    Correct
    Wrong
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Answer : 3. "$$ {m^{2}-1\over {n^{2}-1}}$$"

Q:

If $$ secθ+tanθ=2+\sqrt{5}$$, then the value of $$ sinθ+cosθ$$ is:

1496 0

  • 1
    $$ 3\over{\sqrt{5}}$$
    Correct
    Wrong
  • 2
    $$ {\sqrt{5}}$$
    Correct
    Wrong
  • 3
    $$ 7\over{\sqrt{5}}$$
    Correct
    Wrong
  • 4
    $$ 1\over{\sqrt{5}}$$
    Correct
    Wrong
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Answer : 1. "$$ 3\over{\sqrt{5}}$$"

Q:

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

1495 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 $$ {1+sinθ\over {1-sinθ}}={p^{2}\over{q^{2}}}$$, then sec θ is equal to:

1487 0

  • 1
    $$ {2p^{2}{q^{2}}\over {p^{2}+{q^{2}}}}$$
    Correct
    Wrong
  • 2
    $${1\over 2}\left({q\over p}+{p\over q} \right)$$
    Correct
    Wrong
  • 3
    $$ {1\over {p^{2}}}+{1\over {q^{2}}}$$
    Correct
    Wrong
  • 4
    $$ {p^{2}q^{2}}\over{p^{2}+q^{2}}$$
    Correct
    Wrong
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Answer : 2. "$${1\over 2}\left({q\over p}+{p\over q} \right)$$"

Q:

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

1479 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. "$${2\over \sqrt{3}}$$"

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