Start learning →

Agniveer Air Force Sequences and Series — practice questions — page 3

Explore 75 free Sequences and Series questions in Agniveer Air Force Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Sequences and Series with Quill →

Sequences and Series questions and exercises with answers

Showing questions 61–75 of 75.

True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →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: identities and parity

Read exercise and reference answers
Questions
  1. Statement is true
    Yes
    Statement
    cos²x + sin²x = 1 for every x.
  2. Statement is true
    Yes
    Statement
    sin(−x) = −sin x.
  3. Statement is true
    No
    Statement
    cos(−x) = −cos x.
  4. Statement is true
    Yes
    Statement
    1 + tan²x = sec²x.
  5. Statement is true
    No
    Statement
    1 + tan²x = cosec²x.
Each line is one summary bullet, stated straight or bent. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

Match each sum or difference formula to its result

Read exercise and reference answers
Matching pairs
  1. Left
    cos(x + y)
    Right
    cos x cos y − sin x sin y
  2. Left
    cos(x − y)
    Right
    cos x cos y + sin x sin y
  3. Left
    sin(x + y)
    Right
    sin x cos y + cos x sin y
  4. Left
    sin(x − y)
    Right
    sin x cos y − cos x sin y
The four sum and difference formulae. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

Signs in the expansion

Read exercise and reference answers
Questions
  1. Question
    cos(x + y) expands with which sign in the middle?
    Choices
    1. plus
    2. no sign
    3. minus
    Correct choice
    minus
  2. Question
    sin(x + y) expands with which sign?
    Choices
    1. plus
    2. minus
    3. no sign
    Correct choice
    plus
  3. Question
    cos(x − y) expands with which sign?
    Choices
    1. minus
    2. plus
    3. no sign
    Correct choice
    plus
  4. Question
    sin(x − y) expands with which sign?
    Choices
    1. plus
    2. no sign
    3. minus
    Correct choice
    minus
The sign flips between the cosine and sine expansions, which is the usual slip. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

How to practise

  1. Choose a Sequences and Series question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

GeometryProbability & StatisticsSequencesBinomial TheoremCorrelation and RegressionLinear ProgrammingMeanMedian