Trigonometry Practice Question and Answer

Q:

If $$ {tan\ θ={a\over b}}$$ then $$ {a\sinθ+b\cosθ\over{a\sinθ-b\cosθ}}$$  is

1253 0

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

Q:

If a cot θ + b cosec θ= p and b cot θ + a cosec θ = q then p-q2 is equal to _____

1247 0

  • 1

    b2 – a2

    Correct
    Wrong
  • 2

    a2 – b2

    Correct
    Wrong
  • 3

    b – a

    Correct
    Wrong
  • 4

    a2+b2

    Correct
    Wrong
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Answer : 1. "

b2 – a2

"

Q:

If 5sinθ – 4cosθ=0, 0°˂θ˂90°, then the value of $$ {5\sinθ-2\cosθ}\over {5\sinθ+3\cosθ}$$ is:

1226 0

  • 1
    $$ {3\over 8}$$
    Correct
    Wrong
  • 2
    $$ {2\over 7}$$
    Correct
    Wrong
  • 3
    $$ {5\over 7}$$
    Correct
    Wrong
  • 4
    $$ {3\over 5}$$
    Correct
    Wrong
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Answer : 2. "$$ {2\over 7}$$"

Q:

What is the value of 300°?

1226 0

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

Q:

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

1225 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 $$ {Acos^{2}θ+Bsin^{2}θ}={sin^{2}θ(sec^{2}θ+1)\over{sec^{2}θ-1}}$$ and cotθ=?

1219 0

  • 1
    $${\sqrt{B-2\over2-A}}$$
    Correct
    Wrong
  • 2
    $${\sqrt{B-1\over2-A}}$$
    Correct
    Wrong
  • 3
    $${\sqrt{B-1\over A-2}}$$
    Correct
    Wrong
  • 4
    $${\sqrt{2-B\over 2-A}}$$
    Correct
    Wrong
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Answer : 2. "$${\sqrt{B-1\over2-A}}$$"

Q:

If sin A=$${6\over 7}$$, then what is the value of sec A?

1207 0

  • 1
    $$ {1}\over \sqrt { 13} \ $$
    Correct
    Wrong
  • 2
    $$ {7}\over \sqrt { 13} \ $$
    Correct
    Wrong
  • 3
    $$ {6}\over \sqrt { 13} \ $$
    Correct
    Wrong
  • 4
    $$ {4}\over \sqrt { 13} \ $$
    Correct
    Wrong
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Answer : 2. "$$ {7}\over \sqrt { 13} \ $$"

Q:

If tanx = cot(50+3x), then what is the value of x ?

1204 0

  • 1
    11
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    10
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 3. "10"

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