Trigonometry Question and Answers Practice Question and Answer

Q:

The minimum value of 16 tan2 θ + 25cot2 θ is

1942 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    30
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 4. "40"

Q:

In ΔABC θ is an acute angle and tanθ is equal to three times of cotθ. Find the value of $$ {sin^{2}θ+cosec^{2}θ-{1\over 2}cot^{2}θ}$$.

925 0

  • 1
    $$ {23\over 12}$$
    Correct
    Wrong
  • 2
    $$ {23\over 9}$$
    Correct
    Wrong
  • 3
    $$ {23\over 11}$$
    Correct
    Wrong
  • 4
    $$ {23\over 8}$$
    Correct
    Wrong
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Answer : 1. "$$ {23\over 12}$$"

Q:

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

779 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:

The value of $$ {(cos {\ 9°}+sin{\ 81°}})({sec {\ {9°}+cosec{\ 81°}}})\over{sin{\ 56°}sec{\ 34° }}+ {cos{\ 25°}cosec{\ 65°}}$$ is:

772 0

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

Q:

If Tan4x – Tan2x=1 then the value of Sin4x + Sin2x is__

847 0

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

Q:

Which of the following values suits for A to make the equation  $$ {{ATan62°Sec 28°Cot 38°}\over {Cosec62°Tan11°}}=1$$ ?

748 0

  • 1
    $$ {{Tan38°Tan79°}\over {Tan 28°}}$$
    Correct
    Wrong
  • 2
    $$ {{Tan28°Tan38°}\over {Tan 79°}}$$
    Correct
    Wrong
  • 3
    $$ {{Tan38°}\over {Tan 79°Tan28°}}$$
    Correct
    Wrong
  • 4
    $$ {{Tan28° Tan 79°}\over { Tan38°}}$$
    Correct
    Wrong
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Answer : 2. "$$ {{Tan28°Tan38°}\over {Tan 79°}}$$"

Q:

If A and B are acute angles and Sec A =3; Cot B=4, then the value of $$ {Cosec^{2}A}+Sin^{2}B\over {Cot^{2}A+Sec^{2}B}$$ is:

1021 0

  • 1
    2
    Correct
    Wrong
  • 2
    $$ {25\over 261}$$
    Correct
    Wrong
  • 3
    $$ {322\over 323}$$
    Correct
    Wrong
  • 4
    $$ {1\over 261}$$
    Correct
    Wrong
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Answer : 3. "$$ {322\over 323}$$"

Q: If sinθ-cosθ= \({7\over13}\) and 0º <θ<90°, then the value of Sinθ+Cosθ is 1121 0

  • 1
    \({17\over13}\)
    Correct
    Wrong
  • 2
    \({13\over17}\)
    Correct
    Wrong
  • 3
    \({1\over13}\)
    Correct
    Wrong
  • 4
    \({1\over17}\)
    Correct
    Wrong
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Answer : 1. "\({17\over13}\)"

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