Trigonometry Question and Answers Practice Question and Answer

Q:

If cos(2θ+54°) = sinθ, 0°<(2θ-54°)<90°, then what is the value of $$1\over tan5θ+cosec{5θ\over 2}$$   

436 0

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

Q:

If $${secθ+tanθ\over secθ-tanθ}={5\over 3}$$ then sinθ is equal to ;

432 0

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

Q:

what is the value of the expression
 cos 2A cos2B+sin2(A-B)-sin2(A+B)?

430 0

  • 1
    sin(2A-2B)
    Correct
    Wrong
  • 2
    cos(2A+2B)
    Correct
    Wrong
  • 3
    cos(2A-2B)
    Correct
    Wrong
  • 4
    sin(2A+2B)
    Correct
    Wrong
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Answer : 2. "cos(2A+2B)"

Q:

If $${cos^2θ\over cot^2θ-cos^2θ}=3,$$ where $${0^0<θ<90^0}$$ then the value of θ is:

426 0

  • 1
    $${{45^0}}$$
    Correct
    Wrong
  • 2
    $${{50^0}}$$
    Correct
    Wrong
  • 3
    $${{60^0}}$$
    Correct
    Wrong
  • 4
    $${{50^0}}$$
    Correct
    Wrong
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Answer : 3. "$${{60^0}}$$"

Q:

$$\left({1\over cosecθ}-{1\over sinθ} \right)+{1\over {cosecθ-cotθ}} -{1\over secθ+tanθ} =?$$

420 0

  • 1
    sinθcosθ
    Correct
    Wrong
  • 2
    sinθtanθ
    Correct
    Wrong
  • 3
    secθcosecθ
    Correct
    Wrong
  • 4
    cosecθcotθ
    Correct
    Wrong
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Answer : 3. "secθcosecθ"

Q:

If $${secθ+tanθ\over secθ-tanθ}=2{51\over79}$$, then the value of sinθ is equal to:

407 0

  • 1
    $${35\over72}$$
    Correct
    Wrong
  • 2
    $${36\over72}$$
    Correct
    Wrong
  • 3
    $${91\over144}$$
    Correct
    Wrong
  • 4
    $${65\over144}$$
    Correct
    Wrong
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Answer : 4. "$${65\over144}$$"

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:

398 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:

The value of (tan2A+ cot2A-2)- sec2A cosec2 A is:

398 0

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

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