Trigonometry Practice Question and Answer

Q:

If $$ {cot A={n\over{n+1}}}$$ and $$ {cot B={1\over{2n+1}}}$$ then what is the value of cot (A + B)?

993 0

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

Q:

If $$ {tan3A=cot{(2A+40)}}$$ then find the value of $$ {tan^2{3A}}+{cot^{4}3A}$$.

828 0

  • 1
    $$ {27\over 3}$$
    Correct
    Wrong
  • 2
    $$ {28\over 3}$$
    Correct
    Wrong
  • 3
    $$ {2\over 3}$$
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 2. "$$ {28\over 3}$$"

Q:

Which of the following simplification value of $$ {(secA-cosA)^{2}}+{(cosecA-sinA)^{2}}-{(cotA-tanA)^{2}}$$ ?

793 0

  • 1
    4
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 3. "1"

Q:

If a(tanθ+cotθ)=1, sinθ+cosθ=b and 0°<θ<90°, then the relation between a and b.

904 0

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

Q:

What is the simplification value of $${cotA+tanB}\over{cotB+tanA}$$?

785 0

  • 1
    tanAcotB
    Correct
    Wrong
  • 2
    tanBcotA
    Correct
    Wrong
  • 3
    tanAtanB
    Correct
    Wrong
  • 4
    cotAcotB
    Correct
    Wrong
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Answer : 2. "tanBcotA"

Q:

If tan4θ + tan2θ = 1, then the value of cos4θ + cos2θ is

1603 0

  • 1
    2
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    – 1
    Correct
    Wrong
  • 4
    – 2
    Correct
    Wrong
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Answer : 2. "1"

Q:

What is the value of sin60° + cos230°+ cot2 45° + sec2 60° – cosec2 30° + cos2 0°.

1281 0

  • 1
    $$ {7\over2}$$
    Correct
    Wrong
  • 2
    $$ {7\over4}$$
    Correct
    Wrong
  • 3
    $$ {7\over3}$$
    Correct
    Wrong
  • 4
    $$ {7\over8}$$
    Correct
    Wrong
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Answer : 1. "$$ {7\over2}$$"

Q:

What is the value of $$ {cosecθ\sqrt{1-cos^2θ}}$$.

908 0

  • 1
    0
    Correct
    Wrong
  • 2
    – 2
    Correct
    Wrong
  • 3
    – Sinθ
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 4. "1"

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