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Agniveer Air Force Trigonometric Functions — practice questions — page 2

Explore 34 free Trigonometric Functions questions in Agniveer Air Force Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Trigonometric Functions questions and exercises with answers

Showing questions 31–34 of 34.

Spot the false statementRead the answer and worked solution →Which ones belongRead the answer and worked solution →Knock out the true statementsRead the answer and worked solution →Trigonometry bingoRead the answer and worked solution →

Worked practice questions

Spot the false statement

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Questions
  1. False statement
    The range of sine runs beyond one
    Statements
    1. An anticlockwise turn is a positive angle
    2. The range of sine runs beyond one
    3. Sine is defined for every real number
  2. False statement
    Radian and degree cannot be converted
    Statements
    1. A radian uses an arc of one unit
    2. A degree is one part in three sixty
    3. Radian and degree cannot be converted
  3. False statement
    Cosine is undefined at zero
    Statements
    1. Cosine is undefined at zero
    2. The point of rotation is the vertex
    3. Trigonometry began with triangle problems
  4. False statement
    Tangent is defined for all reals
    Statements
    1. Sine and cosine repeat as x grows
    2. Tangent is defined for all reals
    3. Cosine ranges from minus one to one
Instructions
Two statements are true and one is false. Tap the false one.
_Source: syllabus Mathematics, Ch 3 'Trigonometric Functions'_

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Which ones belong

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Questions
  1. Items
    1. Text
      Defined everywhere
      Matches the category
      Yes
    2. Text
      Range -1 to 1
      Matches the category
      Yes
    3. Text
      Unbounded above
      Matches the category
      No
    4. Text
      Has a gap
      Matches the category
      No
    Category
    True of sine and cosine
  2. Items
    1. Text
      Degree
      Matches the category
      Yes
    2. Text
      Radian
      Matches the category
      Yes
    3. Text
      Metre
      Matches the category
      No
    4. Text
      Second of time
      Matches the category
      No
    Category
    Units of angle
Instructions
Tap only the items that fit the category shown.
_Source: syllabus Mathematics, Ch 3 'Trigonometric Functions'_

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Knock out the true statements

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Questions
  1. Question
    Eliminate the true statements about angles.
    Choices
    1. Item
      A clockwise turn gives a positive angle
      Correct
      Yes
    2. Explanation
      That is what the point the ray turns about is called.
      Item
      The point of rotation is called the vertex
    3. Explanation
      Both are named as the commonly used units of angle.
      Item
      Degree and radian are both angle measures
    4. Explanation
      Both are defined for all real numbers.
      Item
      Sine and cosine accept every real number
Instructions
Remove the statements that are true. One false one should survive.
_Source: syllabus Mathematics, Ch 3 'Trigonometric Functions'_

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