Trigonometry Question and Answers Practice Question and Answer

Q:

If 3 + cos2θ= 3(cot2θ + Sin2θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?

1380 0

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

Q:

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

1376 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:

If $$ secθ-tanθ={1\over\sqrt{3}}$$, the value of secθ.tanθ=?

1374 0

  • 1
    $$ {4\over\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {2\over\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {2\over3}$$
    Correct
    Wrong
  • 4
    $$ {1\over\sqrt{3}}$$
    Correct
    Wrong
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Answer : 3. "$$ {2\over3}$$ "

Q:

What is the simplified value of (1– sin A cos A)(sin A + cos A)?

1373 1

  • 1
    $$cos^2A – sin^2A$$
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    $$sin^3A + cos^3A$$
    Correct
    Wrong
  • 4
    $$sin^2A – cos^2A$$
    Correct
    Wrong
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Answer : 3. "$$sin^3A + cos^3A$$ "

Q:

If $${(2cos^3 A-cosA)\over (sin A- 2 sin^3 A)=1}$$ then what is the value of A?

1371 0

  • 1

    900

    Correct
    Wrong
  • 2

    300

    Correct
    Wrong
  • 3

    450

    Correct
    Wrong
  • 4

    600

    Correct
    Wrong
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Answer : 3. "

450

"

Q:

If $${secθ+tanθ\over secθ-tanθ}=2{51\over79}$$, then the value of sinθ is equal to:

1354 0

  • 1
    $${35\over72}$$
    Correct
    Wrong
  • 2
    $${36\over72}$$
    Correct
    Wrong
  • 3
    $${91\over144}$$
    Correct
    Wrong
  • 4
    $${65\over144}$$
    Correct
    Wrong
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Answer : 4. "$${65\over144}$$"

Q:

The value of sin222° + Sin268°+ Cot2 30° is:

1354 0

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

Q:

What is the value of $${\sqrt{1-cosA\over{1+cosA}}}$$?

1352 0

  • 1
    cosecA-sinA
    Correct
    Wrong
  • 2
    cosecA+cotA
    Correct
    Wrong
  • 3
    secA-cotA
    Correct
    Wrong
  • 4
    secA+cotA
    Correct
    Wrong
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Answer : 1. "cosecA-sinA"

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