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Agniveer Air Force Trigonometry — practice questions — page 2

Explore 41 free Trigonometry questions in Agniveer Air Force Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Trigonometry questions and exercises with answers

Showing questions 31–41 of 41.

True or false: periodicityRead the answer and worked solution →Complete the complementary angle rulesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →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

True or false: periodicity

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Questions
  1. Statement is true
    Yes
    Statement
    cos(2nπ + x) = cos x for any whole number n.
  2. Statement is true
    Yes
    Statement
    sin(2nπ + x) = sin x for any whole number n.
  3. Statement is true
    No
    Statement
    Adding 2π to the angle changes the sine value.
  4. Statement is true
    Yes
    Statement
    2π radians is a full turn.
  5. Statement is true
    Yes
    Statement
    π radians equals 180 degrees.
Adding a full turn changes nothing. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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Complete the complementary angle rules

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Missing parts
  1. Answer
    sin x
    Choices
    1. sin x
    2. cos x
    3. tan x
  2. Answer
    cos x
    Choices
    1. cos x
    2. sin x
    3. cot x
Complete the statement
cos(π/2 − x) equals {0}, and sin(π/2 − x) equals {1}.
Subtracting from π/2 swaps sine and cosine. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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Assertion and reason

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Questions
  1. Reason
    sec²x equals 1 + tan²x, and a square is never negative.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    sec²x is never less than 1.
  2. Reason
    sine is odd and cosine is even.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    sin and cos behave differently under a sign change of x.
  3. Reason
    sin(−x) = −sin x.
    Verdict
    The assertion is false and the reason is true.
    Assertion
    cos(−x) = −cos x.
  4. Reason
    π radians corresponds to 180 degrees.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Angles can be measured in radians instead of degrees.
The reason must genuinely explain the assertion. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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