Start learning →

Indian Navy SSR (Sailor) Limits and Continuity — practice questions — page 3

Explore 73 free Limits and Continuity questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Limits and Continuity with Quill →

Limits and Continuity questions and exercises with answers

Showing questions 61–73 of 73.

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

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 →

Which formula does this belong to?

Read exercise and reference answers
Items
  1. Item
    cos x cos y − sin x sin y
    Category
    A cosine expansion
  2. Item
    cos x cos y + sin x sin y
    Category
    A cosine expansion
  3. Item
    sin x cos y + cos x sin y
    Category
    A sine expansion
  4. Item
    sin x cos y − cos x sin y
    Category
    A sine expansion
Categories
  1. Item
    A cosine expansion
  2. Item
    A sine expansion
Cosine expansions carry the opposite sign to sine expansions. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

True or false: periodicity

Read exercise and reference answers
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.

Open this exercise →

How to practise

  1. Choose a Limits and Continuity 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

Probability & StatisticsBinomial TheoremSequencesSequences and SeriesGeometryPermutations and CombinationsLinear ProgrammingVectors & 3D Geometry