Trigonometry 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 _____

1367 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 sin A=$${6\over 7}$$, then what is the value of sec A?

1356 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 $$ {Acos^{2}θ+Bsin^{2}θ}={sin^{2}θ(sec^{2}θ+1)\over{sec^{2}θ-1}}$$ and cotθ=?

1355 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:

What is the value of 300°?

1350 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:

$$ {3tan^{2}30°}-{4\over 3}{sin^{2}60°}- {1\over2}{cosec^{2}45°}+{4\over3}{sin^{2}90°=?}$$

1347 0

  • 1
    $$ {2\over3}$$
    Correct
    Wrong
  • 2
    $$ {1\over3}$$
    Correct
    Wrong
  • 3
    $$ {4\over3}$$
    Correct
    Wrong
  • 4
    $$ {5\over4}$$
    Correct
    Wrong
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Answer : 2. "$$ {1\over3}$$"

Q:

If 2sinθ+cosθ= $${7\over3}$$ then the value of (tan2θ-sec2θ) is

1345 0

  • 1
    0
    Correct
    Wrong
  • 2
    -1
    Correct
    Wrong
  • 3
    $${3\over7}$$
    Correct
    Wrong
  • 4
    $${7\over3}$$
    Correct
    Wrong
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Answer : 2. "-1"

Q:

(sinθ+cosecθ)2+(cos θ+ sec θ)2=?

1344 0

  • 1
    5 + tan2 θ + cot2 θ
    Correct
    Wrong
  • 2
    7 + tan2 θ - cot2 θ
    Correct
    Wrong
  • 3
    7 + tan2 θ + cot2 θ
    Correct
    Wrong
  • 4
    5 + tan2 θ - cot2 θ
    Correct
    Wrong
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Answer : 3. "7 + tan2 θ + cot2 θ"

Q:

If a=tanθ + 1 and b=sinθ+cosθ then find (b2-1)a=?

1342 0

  • 1
    ab
    Correct
    Wrong
  • 2
    2bsecθ
    Correct
    Wrong
  • 3
    2b
    Correct
    Wrong
  • 4
    2bsin θ
    Correct
    Wrong
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Answer : 4. "2bsin θ"

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