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Agniveer Air Force Number Theory — practice questions — page 2

Explore 36 free Number Theory questions in Agniveer Air Force Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Number Theory questions and exercises with answers

Showing questions 31–36 of 36.

Order the steps: convert degrees to radiansRead the answer and worked solution →Flip and pair: identity with its valueRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every correct identityRead the answer and worked solution →Radians and degreesRead the answer and worked solution →True or false: reading the identitiesRead the answer and worked solution →

Worked practice questions

Order the steps: convert degrees to radians

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Steps
  1. Start from the angle in degrees
  2. Multiply by π
  3. Divide by 180
  4. The result is the angle in radians
One conversion factor, applied once. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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Flip and pair: identity with its value

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Matching pairs
  1. A
    cos²x + sin²x
    B
    1
  2. A
    1 + tan²x
    B
    sec²x
  3. A
    1 + cot²x
    B
    cosec²x
  4. A
    sin(−x)
    B
    −sin x
  5. A
    cos(−x)
    B
    cos x
The core identities by sight. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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Spot the one that does not belong

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Questions
  1. Items
    1. l = rθ
    2. cos²x + sin²x = 1
    3. 1 + tan²x = sec²x
    Odd item
    l = rθ
  2. Items
    1. sin(−x) = −sin x
    2. l = rθ
    3. cos(−x) = cos x
    Odd item
    l = rθ
  3. Items
    1. Radian
    2. Degree
    3. Slope
    Odd item
    Slope
Grouped by which summary bullet each comes from. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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