Trigonometry Question and Answers Practice Question and Answer

Q:

(secA – 1)/(secA + 1) is equal to?

1456 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 0 ≤ θ ≤ 900 and 4cos2θ - $$4{\sqrt { 3} \ }cosθ$$ + 3 = 0, then the value of θ is : 

1452 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:

Select the INCORRECT formula from the following options.

1443 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 $$ secθ+tanθ=2+\sqrt{5}$$, then the value of $$ sinθ+cosθ$$ is:

1438 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 tan A=n tan B and Sin A= m Sin B, then the value of Cos2A is

1436 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:

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

1433 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 is a positive acute angle and 5 cosθ + 12 sinθ = 13, then find the value of cosθ?

1419 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:

$$ {tan^2θ}$$ is equal to:-

1417 0

  • 1
    $$ {1\over cot^2{θ}}$$
    Correct
    Wrong
  • 2
    $$ {1\over sin^2{θ}}$$
    Correct
    Wrong
  • 3
    $$ {1\over cosec^2{θ}}$$
    Correct
    Wrong
  • 4
    $$ {1\over sec^2{θ}}$$
    Correct
    Wrong
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Answer : 1. "$$ {1\over cot^2{θ}}$$"

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