Trigonometry Question and Answers Practice Question and Answer

Q:

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

1135 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:

(sec A + tan A – 1) (sec A – tan A+1) =?

1126 0

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

Q:

Evaluate the following.

sin 25° sin 65° – cos 25° cos 65°.

1126 0

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

Q:

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

1125 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:

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

1124 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 $$ {sin\ {θ}}={1\over {\sqrt{2}}}$$ then (tanθ+cosθ)=?

1118 1

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

Q:

What is the value of 300°?

1117 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:

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

1114 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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