Trigonometry Practice Question and Answer

Q:

If $$ cosecθ + cotθ =p $$, then the value of  $${p^2-1}\over{p^2+1}$$ is:

990 0

  • 1
    cos θ
    Correct
    Wrong
  • 2
    cot θ
    Correct
    Wrong
  • 3
    cosec θ
    Correct
    Wrong
  • 4
    sin θ
    Correct
    Wrong
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Answer : 1. "cos θ"

Q:

Find the value of tan 270 tan340 + tan340 tan29+ tan290 tan270.

986 0

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

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:

985 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:

If $$cosθ + cos^2θ= 1,$$find the value of $$\sqrt {sin^4θ+cos^2θ} \ $$

979 0

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

Q:

If x = a secθ cos∅, y = b secθ sin∅, z=c tanθ, then the value of $$ {x^2\over a^2}+{y^2\over b^2}-{z^2\over c^2} $$

975 0

  • 1
    1
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "1"

Q:

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

970 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:

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

964 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 4sin2θ=3(1+cosθ),00<θ<900, then what is the value of (2tanθ+4sinθ-secθ)?

952 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. "$$3\sqrt {15}-4$$"

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