Trigonometry Practice Question and Answer

Q:

If 4sin2θ=3(1+cosθ),00<θ<900, then what is the value of (2tanθ+4sinθ-secθ)?

625 0

  • 1
    $$3\sqrt {15}-4$$
    Correct
    Wrong
  • 2
    $$15\sqrt {3}-4$$
    Correct
    Wrong
  • 3
    $$15\sqrt {3}+4$$
    Correct
    Wrong
  • 4
    $$4\sqrt {15}-3$$
    Correct
    Wrong
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Answer : 1. "$$3\sqrt {15}-4$$"

Q:

The value of   $${sin23^0cos67^0+sec52^0sin38^0+cos23^0sin67^0+cosec52^0cos38^0}\over cosec^220^0-tan^270^0$$ is

612 0

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

Q:

if $$ sinA= {4\over 5}$$, then what is the value of $$sin^2A$$

610 0

  • 1
    $$16\over 25$$
    Correct
    Wrong
  • 2
    $$26\over 25$$
    Correct
    Wrong
  • 3
    $$48\over 25$$
    Correct
    Wrong
  • 4
    $$36\over 25$$
    Correct
    Wrong
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Answer : 1. "$$16\over 25$$"

Q:

If sin 3A=cos(A+100), where 3A is an acute angel, then what is the value of $$2cosec{3A\over2}+6sin^23A-{3\over 2}tan^2\ 3A$$?

609 0

  • 1
    4
    Correct
    Wrong
  • 2
    $$7\over 4$$
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    $$17\over 2$$
    Correct
    Wrong
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Answer : 1. "4"

Q:

The value of $$\left({sin37^0cos53^0+cos37^0sin^0} \right)-\left({4cos^237^0-7+4cos^253^0\over tan^247^0+4-cosec^243^0} is \right)$$

604 0

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

Q:

The value of   $${cosθ+sin^6θ+3sin^2θ \ cos^2θ}\over cosecθsecθ(sinθ+cosθ-1)(sinθ+cosθ+1) $$

597 0

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

Q:

The value of   $${cosec^230^0sin^245^0+sec^260^0}\over {tan60^0cosec^245^0-sec^260^0tan45^0}$$ is 

596 0

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

Q:

if 3sin2θ – cosθ-1=0, 00< θ<900, then what is the value of cot θ + cosec θ?

556 0

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

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