Trigonometry Practice Question and Answer

Q:

△ABC is right-angle triangle at B and tan A = $$3\over 4$$, then sin A + sin B + sin C will be equal to:

674 0

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

Q:

Find the exact value of cos 1200.

674 0

  • 1
    1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    -0.5
    Correct
    Wrong
  • 4
    0.5
    Correct
    Wrong
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Answer : 3. "-0.5"

Q:

In ∆PQR, ∠Q=90°. If cot $$R={1\over 3}$$, then what is the value of $${secP(cosR+sinP)\over cosec \ R(sinR-cosecP)} $$?

663 0

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

Q:

If sin2θ - 3sinθ + 2=0, the find the value of θ(00≤ θ≤900)

658 0

  • 1

    450

    Correct
    Wrong
  • 2

    00

    Correct
    Wrong
  • 3

    600

    Correct
    Wrong
  • 4

    900

    Correct
    Wrong
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Answer : 4. "

900

"

Q:

$$sinθ[(1-tanθ)tanθ+sec^2θ]\over (1-sinθ)tanθ(1+tanθ)(secθ+tanθ)$$ is equal to:

641 0

  • 1
    cosecθsecθ
    Correct
    Wrong
  • 2
    -1
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    sinθcosθ
    Correct
    Wrong
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Answer : 3. "1"

Q:

If $$ cosecθ + cotθ =p $$, then the value of  $${p^2-1}\over{p^2+1}$$ is:

637 0

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

Q:

if $${secθ={a\over b},b≠0,then \ {{1-tan^2θ}\over 2-sin^2θ}  }=?$$

634 0

  • 1
    $${b^2(2b^2-a^2)}\over {a^2(a^2+b^2)}$$
    Correct
    Wrong
  • 2
    $${a^2(2b^2-a^2)}\over {b^2(a^2+b^2)}$$
    Correct
    Wrong
  • 3
    $${a^2(2b^2+a^2)}\over {b^2(a^2+b^2)}$$
    Correct
    Wrong
  • 4
    $${a^2(2b^2+a^2)}\over {b^2(a^2-b^2)}$$
    Correct
    Wrong
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Answer : 2. "$${a^2(2b^2-a^2)}\over {b^2(a^2+b^2)}$$"

Q:

If $$cosθ + cos^2θ= 1,$$find the value of $$\sqrt {sin^4θ+cos^2θ} \ $$

629 0

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

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