Trigonometry Practice Question and Answer

Q:

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

1989 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    30
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "40"

Q:

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

950 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
  • Show AnswerHide Answer
  • Workspace

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:

805 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
  • Show AnswerHide Answer
  • Workspace

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:

795 0

  • 1
    $$ {1\over 4}$$
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    $$ {1\over 2}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "2"

Q:

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

874 0

  • 1
    1
    Correct
    Wrong
  • 2
    $$ {1\over 2}$$
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    $$ {1\over 5}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "1"

Q:

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

772 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
  • Show AnswerHide Answer
  • Workspace

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:

1043 0

  • 1
    2
    Correct
    Wrong
  • 2
    $$ {25\over 261}$$
    Correct
    Wrong
  • 3
    $$ {322\over 323}$$
    Correct
    Wrong
  • 4
    $$ {1\over 261}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$ {322\over 323}$$"

Q: If sinθ-cosθ= \({7\over13}\) and 0º <θ<90°, then the value of Sinθ+Cosθ is 1168 0

  • 1
    \({17\over13}\)
    Correct
    Wrong
  • 2
    \({13\over17}\)
    Correct
    Wrong
  • 3
    \({1\over13}\)
    Correct
    Wrong
  • 4
    \({1\over17}\)
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "\({17\over13}\)"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully